Answer
Odd
Work Step by Step
If $f(-x)=f(x)$ then the function is even.
If $f(-x)=-f(x)$ then the function is odd.
If $f(-x)\neq f(x)$ and $f(-x)\neq -f(x)$ then the function is neither odd nor even.
$$f(x)=x^5-2x^3$$ $$f(-x)=(-x)^5-2(-x)^3=-x^5+2x^3=-(x^5-2x^3)=-f(x)$$
Hence, it is odd.
