Question

Determine whether the given function is even, odd or neither. *(1 Point)f(x) = x3 - 2x

Answer 1

Given:

The function is,

$f(x)=x^3-2x$

Replace x by -x in the given function,

$\begin{gathered} f(x)=x^3-2x \\ f(-x)=(-x)^3-2(-x) \\ =-x^3+2x \\ =-(x^3-2x) \\ =-f(x) \end{gathered}$

It is observed that, when the x is replace by -x the function end up with exactly opposite of the given function.

Thus, the given function is odd.