Determine whether the given function is even, odd, or neither.
-$$f ( x ) = x ^ { 3 } - 5 x$$
A) Neither
B) Even
C) Odd

Name: Determine whether the given function is even, odd, or neither. -\[f ( x ) = x ^ { 3 } - 5 x\] A) Neither B) Even C) 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 $f(x) = x^3 - 5x$, $f(-x) = (-x)^3 - 5(-x) = -x^3 + 5x = -(x^3 - 5x) = -f(x)$, so $f(x)$ is odd.

Determine Whether the Given Function Is Even, Odd, or Neither f(x)=x3−5xf ( x ) = x ^ { 3 } - 5 xf(x)=x3−5x

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