### Home > APCALC > Chapter 6 > Lesson 6.1.1 > Problem 6-16

6-16.

Locate the point of inflection on the graph of . .

and

*will identify CANDIDATES for points of inflection.*

To determine if a candidate is the location of the Point of Inflection, you could either:

1. Evaluate

*before and after*

*candidate. If there is a sign change, then the candidate is the*

*-value of a POI.*

2. Evaluate

*(candidate). If the 3rd-derivative does not equal zero, then the candidate is the*

*-value of a POI.*

Point of Inflection at

Be sure to show all steps and justification/tests.

Use the eTool below to visualize the problem.

Click the link at right for the full version of the eTool: *Calc 6-16 HW eTool*