Using the graph of below, determine the values of where has a local minimum, local maximum, or point of inflection. Justify your answer for each point.
You are looking at a graph of , which shows all the slopes of .
A local minimum on is located where the slopes of change from negative to positive.
A local maximum on is located where the slopes of change from positive to negative.
An inflection point on is where concavity changes, and concavity is a determined by the slope of the the slopes.
: local minimum: local maximum: inflection point
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