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91 lines
4.6 KiB
HTML
91 lines
4.6 KiB
HTML
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<h1 align="center">Absolute Value Function</h1>
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<p>This is the <a href="../numbers/absolute-value.html">Absolute Value</a> Function:</p>
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<p align="center" class="largest">f(x) = |x|</p>
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<p>It is also sometimes written: <span class="large">abs(x)</span></p>
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<p>This is its graph:</p>
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<p align="center"><img src="images/function-absolute.svg" alt="Absolute Value function" /></p>
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<p align="center"><span class="larger">f(x) = |x|</span></p>
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<p align="center">It makes a right angle at (0,0)</p>
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<p align="center">It is an <a href="../algebra/functions-odd-even.html">even function</a>.</p>
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<p>Its Domain is the <a href="../numbers/real-numbers.html">Real Numbers</a>:<img src="../images/symbols/set-r.svg" alt="Real Numbers" style="vertical-align:middle;" /></p>
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<p>Its Range is the Non-Negative Real Numbers: <span class="large">[0, +∞)</span></p>
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<p><i>Are you <b>absolutely positive</b>? Yes! Except when I am zero.</i></p>
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<h2>Piecewise</h2>
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<p>It is also a <a href="functions-piecewise.html">Piecewise Function</a>:</p>
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<p align="center"><img src="images/function-absolute-b.gif" alt="Absolute Value function" width="285" height="72" /></p>
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<p>Plot the graph <a href="../data/function-grapher7002.html?func1=abs(x)&xmin=-12&xmax=12&ymin=-8&ymax=8">here</a></p>
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<div class="related"><a href="../numbers/absolute-value.html">Absolute Value</a><a href="../algebra/index.html">Algebra Index</a></div>
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