Answer
Odd
Work Step by Step
Remember that when a function is odd, then $f(−x)=−f(x)$ and when a function is even, then $f(−x)=f(x)$.
Thus, in order to find out whether the function is even, odd, or neither, we will find $f(-x)$ .
$f(x)=x^{3}-4x \\ =(-x)^{3}-4(-x)\\=-(x^{3}-4x) \\=-f(x)$
This shows that the function $f(x)$ is odd.
