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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