Is the function v(x) = x^5 - 4x^4 even, odd, or neither? Choices: (A)even (B)odd (C)neither

Substitute and Simplify: v(x) = x^5 - 4x^4 Let's find v(-x) by substituting -x for x. v(-x) = (-x)^5 - 4(-x)^4Comparison of v(x) and v(-x): v(-x) = (-x)^5 - 4(-x)^4 Simplify the right side of the equation. v(-x) = -x^5 - 4x^4Compare v(x) and v(-x). We have v(x) = x^5 - 4x^4 and v(-x) = -x^5 - 4x^4. Since v(-x) is not equal to v(x) and not equal to -v(x), v(x) is neither even nor odd.

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Is the function $v(x) = x^5 - 4x^4$ 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^5 - 4x^4

even, odd, or neither?

\newline

Choices:

\newline

(A)even

\newline

(B)odd

\newline

(C)neither

Substitute and Simplify: $v(x) = x^5 - 4x^4$ $\newline$ Let's find $v(-x)$ by substituting $-x$ for $x$ . $\newline$ $v(-x) = (-x)^5 - 4(-x)^4$
Comparison of $v(x)$ and $v(-x)$ : $v(-x) = (-x)^5 - 4(-x)^4$ $\newline$ Simplify the right side of the equation. $\newline$ $v(-x) = -x^5 - 4x^4$
Comparison of $v(x)$ and $v(-x)$ : $v(-x) = (-x)^5 - 4(-x)^4$ Simplify the right side of the equation. $v(-x) = -x^5 - 4x^4$ Compare $v(x)$ and $v(-x)$ . We have $v(x) = x^5 - 4x^4$ and $v(-x) = -x^5 - 4x^4$ . Since $v(-x)$ is not equal to $v(x)$ and not equal to $v(-x)$ $0$ , $v(x)$ is neither even nor odd.