Determine whether the given function is even, odd, or neither.
-$$f ( x ) = x ^ { 3 } - 2 x$$
A) Odd
B) Even
C) Neither

Name: Determine whether the given function is even, odd, or neither. -\[f ( x ) = x ^ { 3 } - 2 x\] A) Odd B) Even C) Neither
Brand: Quizplus
Rating: 4.7 (39 reviews)

Question

Quizplus · Accepted Answer

A function is odd if $f(-x) = -f(x)$ for all $x$ in the domain of $f$. For $f(x) = x^3 - 2x$, $f(-x) = (-x)^3 - 2(-x) = -x^3 + 2x = -(x^3 - 2x) = -f(x)$, thus $f(x)$ is odd.

Determine Whether the Given Function Is Even, Odd, or Neither f(x)=x3−2xf ( x ) = x ^ { 3 } - 2 xf(x)=x3−2x

Determine Whether the Given Function Is Even, Odd, or Neither $f ( x ) = x ^ { 3 } - 2 x$