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<c val="#808000">GETTING STARTED PRIMERS</c>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Practice defining <b>functions</b>, calculations that can be used over and over again in your worksheet without being entered repeatedly.</p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Below is a function to define <b>x</b> as the input and <b>2x + 1</b> as the output. Notice that you use the<i> assignment operator</i> to define functions, just as you use the assignment operator to define variables in Mathcad.</p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The function is written in <b>function notation</b>, a compact way of saying that f is a rule that takes inputs represented by x and produces an output given by 2x + 1. It says, "What follows is the algebraic definition of what happens when the rule f is applied to the input x."</p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">If you want to "call" or evaluate that function for a particular value, all you have to type is:</p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This call performed the calculation 2(2) + 1 automatically by substituting 2 for x in the function f.</p>
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<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
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<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">g(x):15-x^2</p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Try it!</p>
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<region region-id="900" left="6" top="645" width="27" height="10.5" align-x="8.25" align-y="654" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">g(3)=</p>
</text>
</region>
<region region-id="899" left="186" top="642.75" width="50.25" height="15.75" align-x="214.5" align-y="654" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="default" resultMultiplicationStyle="default">
<ml:apply>
<ml:id xml:space="preserve">g</ml:id>
<ml:real>3</ml:real>
</ml:apply>
<result xmlns="http://schemas.mathsoft.com/math30">
<ml:real>6</ml:real>
</result>
</ml:eval>
</math>
<rendering item-idref="7"></rendering>
</region>
<region region-id="904" left="6" top="672.75" width="27.75" height="14.25" align-x="6" align-y="684" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Try it!</p>
</text>
</region>
<region region-id="917" left="6" top="746.25" width="24.75" height="12" align-x="17.25" align-y="756" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="918" left="186" top="746.25" width="20.25" height="12" align-x="193.5" align-y="756" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">See:</p>
</text>
</region>
<region region-id="919" left="6" top="777" width="116.25" height="10.5" align-x="6" align-y="786" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">d(s):s-1 [Spacebar] /s+1</p>
</text>
</region>
<region region-id="920" left="186" top="766.5" width="66" height="33.75" align-x="214.5" align-y="786" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:function>
<ml:id xml:space="preserve">d</ml:id>
<ml:boundVars>
<ml:id xml:space="preserve">s</ml:id>
</ml:boundVars>
</ml:function>
<ml:apply>
<ml:div></ml:div>
<ml:apply>
<ml:minus></ml:minus>
<ml:id xml:space="preserve">s</ml:id>
<ml:real>1</ml:real>
</ml:apply>
<ml:apply>
<ml:plus></ml:plus>
<ml:id xml:space="preserve">s</ml:id>
<ml:real>1</ml:real>
</ml:apply>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="8"></rendering>
</region>
<region region-id="1227" left="6" top="816.75" width="27.75" height="14.25" align-x="6" align-y="828" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Try it!</p>
</text>
</region>
<region region-id="1228" left="186" top="816.75" width="162" height="71.25" align-x="192.75" align-y="828" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>: The algebraic expression on the right-hand side of your function definition must use the variable noted in parentheses on the left-hand side.</p>
</text>
</region>
<region region-id="922" left="6" top="902.25" width="24.75" height="12" align-x="16.5" align-y="912" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="923" left="186" top="902.25" width="20.25" height="12" align-x="186" align-y="912" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">See:</p>
</text>
</region>
<region region-id="924" left="6" top="927" width="39" height="10.5" align-x="6" align-y="936" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">d(101)=</p>
</text>
</region>
<region region-id="925" left="186" top="924.75" width="78" height="15.75" align-x="227.25" align-y="936" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="default" resultMultiplicationStyle="default">
<ml:apply>
<ml:id xml:space="preserve">d</ml:id>
<ml:real>101</ml:real>
</ml:apply>
<result xmlns="http://schemas.mathsoft.com/math30">
<ml:real>0.98039215686274506</ml:real>
</result>
</ml:eval>
</math>
<rendering item-idref="9"></rendering>
</region>
<region region-id="926" left="6" top="951" width="45" height="10.5" align-x="8.25" align-y="960" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">d(-101)=</p>
</text>
</region>
<region region-id="927" left="186" top="948.75" width="84.75" height="15.75" align-x="234" align-y="960" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="default" resultMultiplicationStyle="default">
<ml:apply>
<ml:id xml:space="preserve">d</ml:id>
<ml:real>-101</ml:real>
</ml:apply>
<result xmlns="http://schemas.mathsoft.com/math30">
<ml:real>1.02</ml:real>
</result>
</ml:eval>
</math>
<rendering item-idref="10"></rendering>
</region>
<region region-id="928" left="6" top="978.75" width="27.75" height="14.25" align-x="6" align-y="990" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Try it!</p>
</text>
</region>
<region region-id="931" left="0" top="1050" width="6000" height="6" align-x="0" align-y="1050" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<pageBreak></pageBreak>
</region>
<region region-id="944" left="6" top="1064.25" width="24.75" height="12" align-x="17.25" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="945" left="186" top="1064.25" width="20.25" height="12" align-x="193.5" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">See:</p>
</text>
</region>
<region region-id="946" left="6" top="1095" width="49.5" height="10.5" align-x="6" align-y="1104" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">L(g):log(g)</p>
</text>
</region>
<region region-id="947" left="186" top="1092.75" width="69" height="15.75" align-x="216" align-y="1104" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define warning="WarnRedefinedBIUnit">
<ml:function>
<ml:id xml:space="preserve">L</ml:id>
<ml:boundVars>
<ml:id xml:space="preserve">g</ml:id>
</ml:boundVars>
</ml:function>
<ml:apply>
<ml:id xml:space="preserve">log</ml:id>
<ml:id xml:space="preserve">g</ml:id>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="11"></rendering>
</region>
<region region-id="988" left="6" top="1143" width="40.5" height="10.5" align-x="6" align-y="1152" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">n:10^30</p>
</text>
</region>
<region region-id="989" left="186" top="1135.5" width="46.5" height="21" align-x="199.5" align-y="1152" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">n</ml:id>
<ml:apply>
<ml:pow></ml:pow>
<ml:real>10</ml:real>
<ml:real>30</ml:real>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="12"></rendering>
</region>
<region region-id="948" left="6" top="1176.75" width="27.75" height="14.25" align-x="6" align-y="1188" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Try it!</p>
</text>
</region>
<region region-id="949" left="6" top="1256.25" width="24.75" height="12" align-x="16.5" align-y="1266" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="950" left="186" top="1256.25" width="20.25" height="12" align-x="186" align-y="1266" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">See:</p>
</text>
</region>
<region region-id="951" left="6" top="1281" width="26.25" height="10.5" align-x="6" align-y="1290" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">L(n)=</p>
</text>
</region>
<region region-id="956" left="186" top="1278.75" width="57" height="15.75" align-x="215.25" align-y="1290" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="default" resultMultiplicationStyle="default">
<ml:apply>
<ml:id xml:space="preserve">L</ml:id>
<ml:id xml:space="preserve">n</ml:id>
</ml:apply>
<result xmlns="http://schemas.mathsoft.com/math30">
<ml:real>30</ml:real>
</result>
</ml:eval>
</math>
<rendering item-idref="13"></rendering>
</region>
<region region-id="955" left="6" top="1314.75" width="27.75" height="14.25" align-x="6" align-y="1326" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Try it!</p>
</text>
</region>
<region region-id="991" left="0" top="1380" width="6000" height="6" align-x="0" align-y="1380" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<pageBreak></pageBreak>
</region>
<region region-id="971" left="6" top="1388.25" width="252" height="12" align-x="6" align-y="1398" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Heading 2" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Evaluating a Function with a Range Variable</p>
</text>
<indexes>
<phrase>function with range variable</phrase>
<phrase>range variable function</phrase>
</indexes>
</region>
<region region-id="972" left="6" top="1412.25" width="24.75" height="12" align-x="17.25" align-y="1422" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="973" left="186" top="1412.25" width="20.25" height="12" align-x="193.5" align-y="1422" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">See:</p>
</text>
</region>
<region region-id="1002" left="6" top="1437" width="29.25" height="10.5" align-x="6" align-y="1446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">x:0;10</p>
</text>
</region>
<region region-id="1003" left="186" top="1434.75" width="51.75" height="15.75" align-x="199.5" align-y="1446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">x</ml:id>
<ml:range>
<ml:real>0</ml:real>
<ml:real>10</ml:real>
</ml:range>
</ml:define>
</math>
<rendering item-idref="14"></rendering>
</region>
<region region-id="1230" left="6" top="1470.75" width="27.75" height="14.25" align-x="6" align-y="1482" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Try it!</p>
</text>
</region>
<region region-id="1229" left="186" top="1470.75" width="162" height="57" align-x="192.75" align-y="1482" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>: A range variable is a variable that takes on a range of values from one endpoint to another at a specified increment.</p>
</text>
</region>
<region region-id="1005" left="6" top="1550.25" width="24.75" height="12" align-x="16.5" align-y="1560" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="1006" left="186" top="1550.25" width="20.25" height="12" align-x="186" align-y="1560" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">See:</p>
</text>
</region>
<region region-id="1007" left="6" top="1575" width="24" height="10.5" align-x="6" align-y="1584" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">f(x)=</p>
</text>
</region>
<region region-id="1008" left="186" top="1572.75" width="42" height="203.25" align-x="195" align-y="1584" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="auto-select" resultMultiplicationStyle="auto-select">
<ml:apply>
<ml:id xml:space="preserve">f</ml:id>
<ml:id xml:space="preserve">x</ml:id>
</ml:apply>
<result xmlns="http://schemas.mathsoft.com/math30">
<ml:matrix rows="11" cols="1">
<ml:real>1</ml:real>
<ml:real>3</ml:real>
<ml:real>5</ml:real>
<ml:real>7</ml:real>
<ml:real>9</ml:real>
<ml:real>11</ml:real>
<ml:real>13</ml:real>
<ml:real>15</ml:real>
<ml:real>17</ml:real>
<ml:real>19</ml:real>
<ml:real>21</ml:real>
</ml:matrix>
</result>
</ml:eval>
<resultFormat>
<general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"></general>
<matrix display-style="auto" expand-nested-arrays="false"></matrix>
<unit format-units="false" simplify-units="false" fractional-unit-exponent="false"></unit>
<table item-idref="15"></table>
</resultFormat>
</math>
<rendering item-idref="16"></rendering>
</region>
<region region-id="1250" left="240" top="1572.75" width="112.5" height="85.5" align-x="240" align-y="1584" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>: To perform the same calculation on a range of values, use a range variable in conjunction with a function.</p>
</text>
</region>
<region region-id="1009" left="6" top="1614.75" width="27.75" height="14.25" align-x="6" align-y="1626" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Try it!</p>
</text>
</region>
<region region-id="1234" left="186" top="1770.75" width="163.5" height="85.5" align-x="192.75" align-y="1782" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>: The function, f, was defined at the top of the worksheet. As long as a definition is above or to the left of where it is being used, it does not need to be close to calculations using it.</p>
</text>
</region>
<region region-id="1027" left="6" top="1868.25" width="24.75" height="12" align-x="17.25" align-y="1878" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="1028" left="186" top="1868.25" width="20.25" height="12" align-x="193.5" align-y="1878" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">See:</p>
</text>
</region>
<region region-id="1039" left="6" top="1893" width="73.5" height="10.5" align-x="23.25" align-y="1902" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">function(y):y^2</p>
</text>
</region>
<region region-id="1040" left="186" top="1885.5" width="79.5" height="21" align-x="244.5" align-y="1902" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:function>
<ml:id xml:space="preserve">function</ml:id>
<ml:boundVars>
<ml:id xml:space="preserve">y</ml:id>
</ml:boundVars>
</ml:function>
<ml:apply>
<ml:pow></ml:pow>
<ml:id xml:space="preserve">y</ml:id>
<ml:real>2</ml:real>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="17"></rendering>
</region>
<region region-id="1029" left="6" top="1917" width="41.25" height="10.5" align-x="6" align-y="1926" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Y:3,3.5;5</p>
</text>
</region>
<region region-id="1030" left="186" top="1914.75" width="69.75" height="15.75" align-x="202.5" align-y="1926" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:id xml:space="preserve">Y</ml:id>
<ml:range>
<ml:sequence>
<ml:real>3</ml:real>
<ml:real>3.5</ml:real>
</ml:sequence>
<ml:real>5</ml:real>
</ml:range>
</ml:define>
</math>
<rendering item-idref="18"></rendering>
</region>
<region region-id="1031" left="6" top="1944.75" width="27.75" height="14.25" align-x="6" align-y="1956" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Try it!</p>
</text>
</region>
<region region-id="1258" left="0" top="1998" width="6000" height="6" align-x="0" align-y="1998" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<pageBreak></pageBreak>
</region>
<region region-id="1032" left="6" top="2024.25" width="24.75" height="12" align-x="16.5" align-y="2034" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type:</p>
</text>
</region>
<region region-id="1033" left="186" top="2024.25" width="20.25" height="12" align-x="186" align-y="2034" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">See:</p>
</text>
</region>
<region region-id="1319" left="276" top="2034.75" width="84" height="57" align-x="283.5" align-y="2046" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>: You can call a function with any variable defined in the worksheet.</p>
</text>
</region>
<region region-id="1034" left="6" top="2049" width="59.25" height="10.5" align-x="6" align-y="2058" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">function(Y)=</p>
</text>
</region>
<region region-id="1260" left="156" top="2052.75" width="66" height="97.5" align-x="182.25" align-y="2064" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="default" resultMultiplicationStyle="default">
<ml:apply>
<ml:id xml:space="preserve">function</ml:id>
<ml:id xml:space="preserve">Y</ml:id>
</ml:apply>
<result xmlns="http://schemas.mathsoft.com/math30">
<ml:matrix rows="5" cols="1">
<ml:real>9</ml:real>
<ml:real>12.25</ml:real>
<ml:real>16</ml:real>
<ml:real>20.25</ml:real>
<ml:real>25</ml:real>
</ml:matrix>
</result>
</ml:eval>
<resultFormat>
<general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"></general>
<matrix display-style="auto" expand-nested-arrays="false"></matrix>
<unit format-units="false" simplify-units="false" fractional-unit-exponent="false"></unit>
<table item-idref="19"></table>
</resultFormat>
</math>
<rendering item-idref="20"></rendering>
</region>
<region region-id="1036" left="6" top="2088.75" width="27.75" height="14.25" align-x="6" align-y="2100" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Try it!</p>
</text>
</region>
<region region-id="1016" left="6" top="2198.25" width="335.25" height="12" align-x="28.5" align-y="2208" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Heading 2" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Modifying a Function to Update Your Calculations</p>
</text>
<indexes>
<phrase>modifying functions</phrase>
<phrase>functions, modifying</phrase>
</indexes>
</region>
<region region-id="1081" left="6" top="2220.75" width="260.25" height="28.5" align-x="20.25" align-y="2232" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Inspect the results of evaluating the function, H, over the range variable, Y:</p>
</text>
</region>
<region region-id="1103" left="24" top="2262.75" width="72" height="15.75" align-x="55.5" align-y="2274" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define warning="WarnRedefinedBIUnit">
<ml:function>
<ml:id xml:space="preserve">H</ml:id>
<ml:boundVars>
<ml:id xml:space="preserve">x</ml:id>
</ml:boundVars>
</ml:function>
<ml:apply>
<ml:id xml:space="preserve">ceil</ml:id>
<ml:id xml:space="preserve">x</ml:id>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="21"></rendering>
</region>
<region region-id="1095" left="120" top="2262.75" width="55.5" height="97.5" align-x="123.75" align-y="2274" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="default" resultMultiplicationStyle="default">
<ml:id xml:space="preserve">Y</ml:id>
<result xmlns="http://schemas.mathsoft.com/math30">
<ml:matrix rows="5" cols="1">
<ml:real>3</ml:real>
<ml:real>3.5</ml:real>
<ml:real>4</ml:real>
<ml:real>4.5</ml:real>
<ml:real>5</ml:real>
</ml:matrix>
</result>
</ml:eval>
<resultFormat>
<general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"></general>
<matrix display-style="auto" expand-nested-arrays="false"></matrix>
<unit format-units="false" simplify-units="false" fractional-unit-exponent="false"></unit>
<table item-idref="22"></table>
</resultFormat>
</math>
<rendering item-idref="23"></rendering>
</region>
<region region-id="1096" left="180" top="2262.75" width="52.5" height="97.5" align-x="192.75" align-y="2274" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="default" resultMultiplicationStyle="default">
<ml:apply>
<ml:id xml:space="preserve">H</ml:id>
<ml:id xml:space="preserve">Y</ml:id>
</ml:apply>
<result xmlns="http://schemas.mathsoft.com/math30">
<ml:matrix rows="5" cols="1">
<ml:real>3</ml:real>
<ml:real>4</ml:real>
<ml:real>4</ml:real>
<ml:real>5</ml:real>
<ml:real>5</ml:real>
</ml:matrix>
</result>
</ml:eval>
<resultFormat>
<general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"></general>
<matrix display-style="auto" expand-nested-arrays="false"></matrix>
<unit format-units="false" simplify-units="false" fractional-unit-exponent="false"></unit>
<table item-idref="24"></table>
</resultFormat>
</math>
<rendering item-idref="25"></rendering>
</region>
<region region-id="1262" left="258" top="2262.75" width="108.75" height="57" align-x="264.75" align-y="2274" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>: The <b>ceil</b> function takes the input and rounds up to the nearest integer.</p>
</text>
<indexes>
<phrase>ceil function</phrase>
</indexes>
</region>
<region region-id="1253" left="246" top="2340.75" width="116.25" height="71.25" align-x="252.75" align-y="2352" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>: You can display a range variable next to a function evaluated with that variable to show inputs and outputs.</p>
</text>
</region>
<region region-id="1044" left="6" top="2432.25" width="167.25" height="24" align-x="17.25" align-y="2442" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Highlight <b>ceil</b> on the right side of this function definition and delete it:</p>
</text>
</region>
<region region-id="1063" left="186" top="2432.25" width="20.25" height="12" align-x="193.5" align-y="2442" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">See:</p>
</text>
</region>
<region region-id="1089" left="186" top="2454" width="73.5" height="27" align-x="186" align-y="2454" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<picture>
<png item-idref="26" display-width="72" display-height="25.5"></png>
</picture>
<rendering item-idref="27"></rendering>
</region>
<region region-id="1066" left="6" top="2498.25" width="156" height="24" align-x="17.25" align-y="2508" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Then enter the <b>floor</b> function by typing:</p>
</text>
</region>
<region region-id="1073" left="186" top="2498.25" width="20.25" height="12" align-x="192" align-y="2508" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">See:</p>
</text>
</region>
<region region-id="1100" left="276" top="2496.75" width="84" height="71.25" align-x="282.75" align-y="2508" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>: The <b>floor</b> function takes the input and rounds down to the nearest integer.</p>
</text>
<indexes>
<phrase>floor function</phrase>
</indexes>
</region>
<region region-id="1107" left="6" top="2535" width="21.75" height="10.5" align-x="15.75" align-y="2544" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">floor</p>
</text>
</region>
<region region-id="1108" left="186" top="2532.75" width="78" height="15.75" align-x="217.5" align-y="2544" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define warning="WarnRedefinedUDFunction">
<ml:function>
<ml:id xml:space="preserve">H</ml:id>
<ml:boundVars>
<ml:id xml:space="preserve">x</ml:id>
</ml:boundVars>
</ml:function>
<ml:apply>
<ml:id xml:space="preserve">floor</ml:id>
<ml:id xml:space="preserve">x</ml:id>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="28"></rendering>
</region>
<region region-id="1105" left="6" top="2556.75" width="159.75" height="14.25" align-x="6" align-y="2568" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Inspect the new results, above.</p>
</text>
</region>
<region region-id="1111" left="0" top="2592" width="6000" height="6" align-x="0" align-y="2592" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<pageBreak></pageBreak>
</region>
<region region-id="1114" left="6" top="2606.25" width="181.5" height="12" align-x="24" align-y="2616" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Heading 2" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Entering a Built-in Function</p>
</text>
<indexes>
<phrase>built-in functions</phrase>
</indexes>
</region>
<region region-id="1215" left="6" top="2628.75" width="340.5" height="57" align-x="6" align-y="2640" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">To see a scrolling list of built-in functions along with brief descriptions, select <b>Function</b> from the <b>Insert</b> menu. The <b>Insert Function</b> dialog box, pictured below, lets you insert a function name directly into a math placeholder. </p>
</text>
<indexes>
<phrase>functions, inserting</phrase>
<phrase>functions in Mathcad</phrase>
</indexes>
</region>
<region region-id="1218" left="6" top="2700.75" width="27.75" height="14.25" align-x="6" align-y="2712" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Try it!</p>
</text>
</region>
<region region-id="1315" left="6" top="2724" width="351" height="246.75" align-x="6" align-y="2724" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<picture>
<png item-idref="29" display-width="349.5" display-height="245.25"></png>
</picture>
<rendering item-idref="30"></rendering>
</region>
<region region-id="1127" left="6" top="2978.25" width="146.25" height="36" align-x="19.5" align-y="2988" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">From the <b>Function Name</b> list, select the function <b>gcd</b> and click Insert.</p>
</text>
</region>
<region region-id="1207" left="186" top="2978.25" width="20.25" height="12" align-x="193.5" align-y="2988" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">See:</p>
</text>
</region>
<region region-id="1236" left="276" top="2976.75" width="98.25" height="85.5" align-x="282.75" align-y="2988" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>: Greatest Common Factor <b>(gcd)</b> is the largest number that evenly factors all the numbers in the list.</p>
</text>
</region>
<region region-id="1206" left="186" top="3000.75" width="66" height="15.75" align-x="202.5" align-y="3012" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:apply>
<ml:id xml:space="preserve">gcd</ml:id>
<ml:sequence>
<ml:placeholder></ml:placeholder>
<ml:placeholder></ml:placeholder>
<ml:placeholder></ml:placeholder>
<ml:placeholder></ml:placeholder>
</ml:sequence>
</ml:apply>
</math>
<rendering item-idref="31"></rendering>
</region>
<region region-id="1148" left="6" top="3030.75" width="27.75" height="14.25" align-x="6" align-y="3042" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Try it!</p>
</text>
</region>
<region region-id="1150" left="6" top="3074.25" width="166.5" height="12" align-x="9.75" align-y="3084" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">In the four function placeholders, type:</p>
</text>
</region>
<region region-id="1205" left="186" top="3074.25" width="20.25" height="12" align-x="193.5" align-y="3084" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">You can use the <b>[Tab]</b> key to jump to the next placeholder. Press = to see a result.</p>
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<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">From the Function Name list, select the function <b>mean</b> and click Insert.</p>
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<b>
<c val="#008080">Tip</c>
</b>
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<c val="#008080">:</c>
</inlineAttr> The built-in mean function automatically provides four placeholders for numbers you want to find the mean of, but you can always add more.</p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Try it!</p>
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<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Click the first placeholder and type:</p>
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<p style="typing" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">12 [Tab] 15 [Tab] 18 [Tab] 13,12.5,13.5=</p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Tip</c>
</b>: If you know the name of the function you want to use, you can simply type it with its appropriate arguments. If not, use the <b>Insert Function</b> dialog box to find the function's name and the arguments it takes.</p>
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<b>
<c val="#008080">Tip</c>
</b>: If you are not sure whether something is a function, type it and press =.</p>
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">If it is one, then its "signature" appears, describing what sort of argument it takes.</p>
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<text use-page-width="false" push-down="false" lock-width="false">
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<text use-page-width="false" push-down="false" lock-width="true">
<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">See:</p>
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<text use-page-width="false" push-down="false" lock-width="false">
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<ml:id xml:space="preserve">sin</ml:id>
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<ml:id xml:space="preserve">ƒ(Unitless) → Unitless</ml:id>
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<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Try it!</p>
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<p style="directions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Type another word that you think is a function, to test it.</p>
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