### Home > CALC > Chapter 3 > Lesson 3.3.1 > Problem 3-94

3-94.

Show that if is an even function and

*, then*

*is odd. Demonstrate this fact with a graph.*

Sketch different examples of possible functions that are both even and go through the origin. Then sketch their antiderivatives

*.*

Make a conjecture about why this will work ONLY if the even derivative goes through the origin? For example: consider even function