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Is the function $n(x) = -5x^3 - x^2$ even, odd, or neither? $\newline$ Choices: $\newline$ (A)even $\newline$ (B)odd $\newline$ (C)neither

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Even and odd functions

Full solution

Q. Is the function

n(x) = -5x^3 - x^2

even, odd, or neither?

\newline

Choices:

\newline

(A)even

\newline

(B)odd

\newline

(C)neither

Check Even Function: Check if $n(x)$ is even by evaluating $n(-x)$ and comparing it to $n(x)$ .
$n(-x) = -5(-x)^3 - (-x)^2$
$n(-x) = -5x^3 - x^2$
Evaluate $n(-x)$ : Compare $n(-x)$ with $n(x)$ .
$n(x) = -5x^3 - x^2$
$n(-x) = -5(-x)^3 - (-x)^2$
Since $n(-x)$ is not equal to $n(x)$ , $n(x)$ is not even.

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