### Home > CALC > Chapter Ch2 > Lesson 2.2.4 > Problem 2-97

2-97.

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.