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293 lines
11 KiB
HTML
293 lines
11 KiB
HTML
<!DOCTYPE html>
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<!-- Mirrored from www.mathsisfun.com/data/inequality-grapher.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 01:02:31 GMT -->
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<title>Inequality Grapher</title>
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<meta name="description" content="Supports graphing multiple functions together and shading the areas less than or greater than each function.">
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<div id="logo"><a href="../index.html"><img src="../images/style/logo.svg" alt="Math is Fun"></a></div>
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<article id="content" role="main">
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<h1 class="center">Inequality Grapher</h1>
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<p class="center"><b><a href="#description">Description</a></b> :: <b><a href="#functions">All Functions</a></b></p>
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<div class="script" style="height: 530px;">
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../algebra/images/inequal-graph.js
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</div>
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<h2><a name="description" id="description"></a>Description</h2>
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<p>Inequality Grapher is a full featured Graphing Utility that supports graphing multiple functions together, and shading the areas less than or greater than each function.</p>
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<p>It can be used to solve sets of inequality questions, and is useful in linear programming.</p>
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<h2>Usage</h2>
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<h3>To plot a function just type it into the function box. Use "x" as the variable.</h3>
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<div class="example">
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<p>Examples:</p>
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<ul>
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<li>sin(x)</li>
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<li>2x-3</li>
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<li>cos(x^2)</li>
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<li>(x-3)(x+3)</li>
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</ul>
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</div>
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<p> </p>
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<h3>Zooming and Re-centering</h3>
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<p>To zoom, use the zoom slider. To the left zooms in, to the right zooms out. When you let go of the slider it goes back to the middle so you can zoom more.</p>
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<p>You can click-and-drag to move the graph around.</p>
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<p>If you just click-and-release (without moving), then the spot you clicked on will be the new center</p>
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<p>To reset the zoom to the original, click on the <b>Reset</b> button.</p>
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<!-- <p style="float:left; margin: 0 10px 5px 0;" "><img src="../images/style/udlr-keyboard.png " width="85 " height="68 " alt="up-down-left-right keys " /></p>
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<p>After clicking on the graph you can use the arrow keys (up, down, left and right) to move the graph around.</p>
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<p>Use them in combination with the shift key for fine adjustments.</p>-->
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<p> </p>
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<h3>Using "a" Values</h3>
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<p>There is a slider with "a=" on it. You can use "a" in your formula and then use the slider to change the value of "a" to see how it affects the graph.</p>
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<div class="example ">
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<p>Examples:</p>
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<ul>
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<li>x^a</li>
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<li>2x-3a</li>
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<li>sin(a*x)</li>
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</ul>
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</div>
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<p>Note how I used <b>a*x</b> to multiply <b>a</b> and <b>x</b>. If I used <b>ax</b> (or <b>xa</b>) the program just gets confused.</p>
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<h2>Saving Your Work</h2>
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<p>You can print using the print button.</p>
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<p>You can save the graph to disk.</p>
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<!--<p>The "svg" button will save the graph as a "Scalable Vector Graphics" file which can be edited using programs like Inkscape. Titles and numbers are not currently included, just the bare graphics.</p>-->
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<a name="functions" id="functions"></a>
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<h2>All Functions</h2>
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<h3>Operators</h3>
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<table width="100% " cellpadding="4 " border="0 ">
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<tbody>
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<tr>
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<td width="8% "> </td>
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<th width="10% ">+</th>
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<td width="82% ">Addition operator</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% ">-</th>
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<td width="82% ">Subtraction operator</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% ">*</th>
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<td width="82% ">Multiplication operator</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% ">/</th>
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<td width="82% ">Division operator</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% ">^</th>
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<td width="82% "><a href="../exponent.html">Exponent</a> (Power) operator</td>
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</tr>
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</tbody></table>
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<p> </p>
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<h3>Functions</h3>
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<table width="100% " cellpadding="4 " border="0 ">
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<tbody>
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<tr>
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<td width="8% "> </td>
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<th width="10% "><b>sqrt</b></th>
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<td width="82% ">Square Root of a value or expression.</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% "><b>sin</b></th>
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<td width="82% ">sine of a value or expression</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% "><b>cos</b></th>
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<td width="82% ">cosine of a value or expression</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% "><b>tan</b></th>
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<td width="82% ">tangent of a value or expression</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% "><b>asin</b></th>
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<td width="82% ">inverse sine (arcsine) of a value or expression</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% "><b>acos</b></th>
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<td width="82% ">inverse cosine (arccos) of a value or expression</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% "><b>atan</b></th>
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<td width="82% ">inverse tangent (arctangent) of a value or expression</td>
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</tr>
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<tr>
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<td> </td>
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<th><b>sinh</b></th>
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<td>Hyperbolic sine (sinh) of a value or expression</td>
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</tr>
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<tr>
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<td> </td>
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<th><b>cosh</b></th>
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<td>Hyperbolic cosine (cosh) of a value or expression</td>
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</tr>
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<tr>
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<td> </td>
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<th><b>tanh</b></th>
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<td>Hyperbolic tangent (tanh) of a value or expression</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% "><b>exp</b></th>
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<td width="82% "> e (the Euler Constant) raised to the power of a value or expression</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% "><b>ln</b></th>
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<td width="82% ">The natural logarithm of a value or expression</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% "><b>log</b></th>
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<td width="82% ">The base-10 logarithm of a value or expression</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% ">floor</th>
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<td width="82% ">Returns the largest (closest to positive infinity) value that is not greater than the argument and is equal to a mathematical integer.</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% ">ceil</th>
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<td width="82% ">Returns the smallest (closest to negative infinity) value that is not less than the argument and is equal to a mathematical integer.</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% ">abs</th>
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<td width="82% ">Absolute value (distance from zero) of a value or expression</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% ">sign</th>
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<td width="82% ">Sign (+1 or -1) of a value or expression</td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% "> </th>
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<td width="82% "> </td>
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</tr>
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</tbody></table>
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<h3>Constants</h3>
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<table width="100% " cellpadding="4 " border="0 ">
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<tbody>
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<tr>
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<td width="8% "> </td>
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<th width="10% ">pi</th>
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<td width="82% ">The constant <span class="times"><a href="../numbers/pi.html"> π </a></span> (3.141592654...) </td>
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</tr>
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<tr>
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<td width="8% "> </td>
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<th width="10% ">e</th>
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<td width="82% "><a href="../numbers/e-eulers-number.html">Euler's number</a> (2.71828...), the base for the natural logarithm</td>
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</tr>
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</tbody></table><p> </p>
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<div class="related ">
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<a href="../algebra/inequality.html">Inequalities</a>
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<a href="../algebra/graphing-linear-inequalities.html">Graphing Linear Inequalities</a>
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<a href="../algebra/inequality-questions-solving.html">Solving Inequality Word Questions</a>
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<a href="../algebra/inequality-solving.html">Solving Inequalities</a>
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<a href="grapher-equation.html">Equation Grapher</a>
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<a href="graphs-index.html">Graphs Index</a></div>
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<div id="copyrt">Copyright © 2022 Rod Pierce</div>
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