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Examine the graph of shown at right.

Let .

  1. What is the domain of ?

    is defined for , so .

  2. For what values of does attain its absolute maximum and minimum? Justify your answer.

    represents the area under the curve. Review the graph.
    For what value of will this area be a maximum? A minimum?

    The maximum occurs when . The minimum occurs when .
    What are the corresponding -values?