Decide whether the function is even, odd, or neither. $g ( x ) = x ^ { 3 } - 5 x$
A)Odd
B)Even
C)Neither even nor odd

Name: Decide whether the function is even, odd, or neither. $g ( x ) = x ^ { 3 } - 5 x$ A)Odd B)Even C)Neither even nor odd
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Question

Quizplus · Accepted Answer

A function is odd if $f(-x) = -f(x)$ for all $x$ in the domain of $f$. For $g(x) = x^3 - 5x$, $g(-x) = (-x)^3 - 5(-x) = -x^3 + 5x = -(x^3 - 5x) = -g(x)$, so $g(x)$ is odd.

Decide Whether the Function Is Even, Odd, or Neither g(x)=x3−5xg ( x ) = x ^ { 3 } - 5 xg(x)=x3−5x

Decide Whether the Function Is Even, Odd, or Neither $g ( x ) = x ^ { 3 } - 5 x$