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

2-97.

is an even function such that

*and*

*. Which of the following must be true? Could be true? Must be false?*

Even functions have reflective symmetry across the

Definition of an even function:

Must all even functions go through the origin?

Consider the even function: .

Also consider the even function: