Is the function v(x) = -x^7 + 8x^5 even, odd, or neither? Choices: (A)even (B)odd (C)neither

Select function for v(-x): v(x) = -x^7 + 8x^5 Select the function for v(-x). Substitute -x for x in v(x) = -x^7 + 8x^5. v(-x) = -(-x)^7 + 8(-x)^5Simplify right side: v(-x) = -(-x)^7 + 8(-x)^5 Simplify the right side of the function. v(-x) = -(-1)^7 * x^7 + 8(-1)^5 * x^5 v(-x) = x^7 - 8x^5Determine function type: We have: v(x) = -x^7 + 8x^5 v(-x) = x^7 - 8x^5 Is the function v(x) even, odd, or neither? Since v(-x) = -v(x), v(x) is an odd function.

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Is the function $v(x) = -x^7 + 8x^5$ 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

v(x) = -x^7 + 8x^5

even, odd, or neither?

\newline

Choices:

\newline

(A)even

\newline

(B)odd

\newline

(C)neither

Select function for $v(-x)$ : $v(x) = -x^7 + 8x^5$ $\newline$ Select the function for $v(-x)$ . $\newline$ Substitute $-x$ for $x$ in $v(x) = -x^7 + 8x^5$ . $\newline$ $v(-x) = -(-x)^7 + 8(-x)^5$
Simplify right side: $v(-x) = -(-x)^7 + 8(-x)^5$ $\newline$ Simplify the right side of the function. $\newline$ $v(-x) = -(-1)^7 \times x^7 + 8(-1)^5 \times x^5$ $\newline$ $v(-x) = x^7 - 8x^5$
Determine function type: We have: $\newline$ $v(x) = -x^7 + 8x^5$ $\newline$ $v(-x) = x^7 - 8x^5$ $\newline$ Is the function $v(x)$ even, odd, or neither? $\newline$ Since $v(-x) = -v(x)$ , $v(x)$ is an odd function.