### Home > APCALC > Chapter 4 > Lesson 4.2.1 > Problem4-46

4-46.

Explain why there are an infinite number of antiderivatives for each function. Demonstrate this fact with an example.

The $+C$ represents a vertical shift.

Explain why two functions that are the same in every way except for their vertical position would have the exact same slope at every value of $x$.