### Home > CALC > Chapter 2 > Lesson 2.2.4 > Problem 2-97

2-97.

*f*(*x*) is an even function such that*f*(2) = 4 and*f*(10) = 20. Which of the following must be true? Could be true? Must be false? Homework Help ✎I.

*f*(−10) = 20II.

*f*(−2) = −4III.

*f*(0) = 0

Even functions have reflective symmetry across the y-axis.

Definition of an even function: *f*(*a*) = *f*(−*a*)

Must all even functions go through the origin?

Consider the even function: *f*(*x*) = *x*^{2} + 1.