## College Algebra (10th Edition)

To find out if the function is even, odd, or neither, we find $f(-x)$ and compare the result to $f(x)$: $f(x)=x^{3}-4x$ $f(-x)=(-x)^{3}-4(-x)$ $=-x^{3}+4x$ $=-(x^{3}-4x)$ $=-f(x)$ Thus $f(x)$ is odd.