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90 lines
4.8 KiB
HTML
90 lines
4.8 KiB
HTML
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<title>Reciprocal Function</title>
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<h1 align="center">Reciprocal Function</h1>
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<p>This is the <a href="../algebra/reciprocal.html">Reciprocal</a> Function:</p>
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<p align="center" class="largest">f(x) = 1/x</p>
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<p>This is its graph:</p>
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<p align="center"><img src="images/function-reciprocal.svg" alt="Reciprocal function" /></p>
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<p align="center"><span class="larger">f(x) = 1/x</span></p>
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<p align="center">It is a <a href="../geometry/hyperbola.html">Hyperbola</a>.</p>
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<p align="center">It is an <a href="../algebra/functions-odd-even.html">odd function</a>.</p>
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<div class="center80">
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<p>Its Domain is the <a href="../numbers/real-numbers.html">Real Numbers</a>, <b>except 0</b>, because 1/0 is undefined.</p>
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<p>Using <a href="set-builder-notation.html">set-builder notation</a>:</p>
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<p>Its Domain is<span class="large"> {x <img src="../images/symbols/member-of-sm.gif" alt="member of" width="14" height="19" style="vertical-align:middle;" /> <img src="../images/symbols/set-r.svg" alt="Reals" height="16" style="vertical-align:middle;" /> | x ≠ 0}</span></p>
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<p>Its Range is also <span class="large">{x <img src="../images/symbols/member-of-sm.gif" alt="member of" width="14" height="19" style="vertical-align:middle;" /> <img src="../images/symbols/set-r.svg" alt="Reals" height="16" style="vertical-align:middle;" /> | x ≠ 0}</span></p>
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</div>
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<h2>As an Exponent</h2>
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<p>The Reciprocal Function can also be written as an <a href="../exponent.html">exponent</a>:</p>
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<p align="center"><span class="largest">f(x) = x<sup>-1</sup></span></p>
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<p>Plot the graph <a href="../data/function-grapher3d1c.html?func1=x^(-1)&xmin=-12&xmax=12&ymin=-8&ymax=8">here</a></p>
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<p> </p>
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<div class="related"><a href="../algebra/reciprocal.html">Reciprocal</a><a href="../algebra/index.html">Algebra Index</a></div>
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