### Home > APCALC > Chapter 5 > Lesson 5.2.2 > Problem 5-70

5-70.

Ima Geek is announcing her mystery function contest again. Today’s mystery function has these properties: . What do you know about the graph? What don’t you know?

When a 1st-derivative is equal to zero at , then

*is a CANDIDATE for a local max or a local min. When a 2nd-derivative is equal to zero at*

*, then*

*is also a CANDIDATE for a point of inflection. Obviously, the candidate cannot hold all three positions... so, how do we determine if*

*is a local max, a local min or a POI?*