## Related questions with answers

Question

Are all even-degree polynomial functions even? Are all odd-degree polynomial functions odd? Explain.

Solution

VerifiedStep 1

1 of 2#### $\textbf{An even function}$

satisfies the property

$f(-x)=f(x)$

for all $x$ in its domain and is symmetric about the y-axis.

An even-degree polynomial function is an even function if $\text{\underline{\textcolor{#4257b2}{the exponent of each term is even}}}$.

#### $\textbf{An odd function}$

satisfies the property

$f(-x)=-f(x)$

for all $x$ in its domain and is symmetric about the y-axis.

An odd-degree polynomial function is an odd function if $\text{\underline{\textcolor{#c34632}{the exponent of each term is odd}}}$.

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