## Calculus (3rd Edition)

$$f(x)=0.$$
Recall that an even function must satisfy: $f(-x)=f(x)$ Recall that an odd function must satisfy: $f(-x)=-f(x)$ The only function that is both even and odd is the zero function $$f(x)=0.$$ We can see that: $f(-x)=f(x)=-f(x)=0$