Answer
Odd function
Work Step by Step
We are given the function:
$f(x)=\sqrt[3]{4x}$
Graph the function:
The graph shows that the function is symmetrical with respect to the origin, which means the function is odd.
Check that the function is odd algebraically:
$f(-x)=\sqrt[3]{-x}=-\sqrt[3]x=-f(x)$
As $f(-x)=-f(x)$, the function is odd.