Concavity

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After completing this section, students should be able to do the following.

Explain the Geometric interpretation of concavity.
Determine the values for which a function is concave up.
Determine the values for which a function is concave down.
Interpret the meaning of positive or negative values of the second derivative as it pertains to concavity.
Identify a point of inflection visually.
Give examples of points of inflection as they may occur in the real world.
Analytically find points of inflection using the second derivative.