<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-even-odd-functions" target="_blank">Even & Odd functions Exercise</a></p><p>The technical definition of an <span style="color:#27ae60;">Even Function</span> is one that adheres to the following rule:</p>
<p>$$f(-x)=f(x)$$</p>
<p>But what exactly does this mean? It means that even if we make an input negative, the output will be the same. For example, if we input the number $3$ into a certain function and then input the number $-3$, the output will be the same in both cases.</p>
<p>The <span style="color:#e74c3c;">less technical</span> definiiton of an even function is one in which the exponents are either even positive numbers or $0$. The $0$ exponent is for constants.</p>
<p>For example, if $f(x)$ equals $x^2$ or $x^6 + x^4$ or $x^{10} + 7$, it'd be an even function.</p>
<p>The technical definition of an <span style="color:#27ae60;">Odd Function</span> is one that adheres to the following rule:</p>
<p>$$f(-x)=-f(x)$$</p>
<p>But what exactly does this mean? It means that when we make the input negative, the output will be the same value but now the opposite sign. For example, if we input the number $3$ into a certain function and the output is $10$, and then we input the number $-3$ into the same function, the output will be $-10$.</p>
<p>The <span style="color:#e74c3c;">less technical</span> definiiton of an odd function is one in which the exponents are odd positive integers. </p>
<p>For example, if $f(x)$ equals $x$ or $x^3 + x$ or $x^9 + x^7 + x^3$, it'd be an odd function.</p>