4.2 Applications of the Second Derivative

Objectives:

1. Given a graph, determine the intervals where the graph is concave up/down.

2. Given a graph, determine the inflection points.

3. Match the graph of the function given different information.

4. Use the second derivative to determine concavity.

5. Use the derivative to determine inflection points.

6. Use the derivative to determine the relative extrema

Given a graph, determine the intervals where the graph is concave up/down.

Match the graph to the function with the specified properties.