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Is the function $h(x) = 3x^5 + 2x^3 - 4x^2$ 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

h(x) = 3x^5 + 2x^3 - 4x^2

even, odd, or neither?

\newline

Choices:

\newline

(A)even

\newline

(B)odd

\newline

(C)neither

Check Even Function: Check if $h(x)$ is even by evaluating $h(-x)$ and comparing it to $h(x)$ . $\newline$ $h(-x) = 3(-x)^5 + 2(-x)^3 - 4(-x)^2$
Simplify $h(-x)$ Expression: Simplify the expression for $h(-x)$ . $\newline$ $h(-x) = -3x^5 - 2x^3 - 4x^2$

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