Question

Is There a Function That Is Both Even And Odd?

• A. True
• B. False

Answer 1

The correct option is A True

Proving that there is a function that is both even and odd:

Yes, there is a function that is both even and odd.

Zero function $f\left(x\right)=0$ for all $x$.

We can express this as $f\left(-x\right)=-f\left(x\right)=f\left(x\right)=0$, for all values of $x$, which is defined for all the real numbers can be both, even and odd.

Therefore, the given statement is true.