Even and Odd Functions
<p><span style="font-size:22px"><a target="_blank" href="https://www.prepswift.com/quizzes/quiz/prepswift-even-and-odd-functions">Even and Odd Functions Exercise</a></span></p><p>What do The Graphs of Even and Odd Functions look like?</p>
<p><strong><span style="color:#27ae60;">Even Functions</span></strong></p>
<p>Algebraically, an even function is one that conforms to the following rule:</p>
<p>$$f(-x) = f(x)$$</p>
<p>In English, this means that even if you make a certain input negative, the output will not change. Both $3$ and $-3$ will result in the same output value. What does that look like on a graph?</p>
<p style="text-align: center;"><span style="color:#8e44ad;">Even functions, when graphed, have symmetry with the $y$-axis.</span></p>
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<p><strong><span style="color:#e74c3c;">Odd Functions</span></strong></p>
<p>Algebraically, an odd function is one that conforms to the following rule:</p>
<p>$$f(-x) = -f(x)$$</p>
<p>In English, this means that if you make a certain input negative, the output will also change signs. For example, if our function is odd, we would input $3$ and get $5$ and input $-3$ and get $-5$. What does that look like on a graph?</p>
<p style="text-align: center;"><span style="color:#8e44ad;">Odd functions, when graphed, have symmetry with the origin.</span></p>
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