#### Answer

This is an odd function. The only zero is at x=0.

#### Work Step by Step

To find whether a function is even or odd, plug in -x and evaluate the result.
$f(-x)=\sqrt[3]{(-x)}$
Because f(-x) is equal to the opposite of f(x), this is an odd function.
To find the zeroes, set f(x) equal to 0.
$f(x)=\sqrt[3]{(x)}$
$x=0$
The only zero is at x=0.