Is the function p(x) = 2x^4 - 3x^2 + 6 even, odd, or neither? Choices: (A)even (B)odd (C)neither

Check Even Function: Check if p(x) is even by substituting -x for x and comparing p(-x) to p(x). p(-x) = 2(-x)^4 - 3(-x)^2 + 6Simplify p(-x): Simplify the expression for p(-x). p(-x) = 2x^4 - 3x^2 + 6Compare p(-x) with p(x): Compare p(-x) with p(x). Since p(-x) = p(x), the function p(x) is even.

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Is the function $p(x) = 2x^4 - 3x^2 + 6$ even, odd, or neither? $\newline$ Choices: $\newline$ (A)even $\newline$ (B)odd $\newline$ (C)neither

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Algebra 2

Even and odd functions

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Q. Is the function

p(x) = 2x^4 - 3x^2 + 6

even, odd, or neither?

\newline

Choices:

\newline

(A)even

\newline

(B)odd

\newline

(C)neither

Check Even Function: Check if $p(x)$ is even by substituting $-x$ for $x$ and comparing $p(-x)$ to $p(x)$ . $p(-x) = 2(-x)^4 - 3(-x)^2 + 6$
Simplify $p(-x)$ : Simplify the expression for $p(-x)$ . $p(-x) = 2x^4 - 3x^2 + 6$
Compare $p(-x)$ with $p(x)$ : Compare $p(-x)$ with $p(x)$ . $\newline$ Since $p(-x) = p(x)$ , the function $p(x)$ is even.