Answer
See explanations.
Work Step by Step
Assuming function $f(x)$ is both even and odd, we have both $f(-x)=f(x)$ and $f(-x)=-f(x)$. Combining the two equations, we get $f(x)=-f(x)$ or $2f(x)=0$ which gives $f(x)=0$ for every $x$ in the domain of $f$.
