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The graph below shows the graph of the derivative of . Give approximate answers to the questions below and justify your responses.

  1. a. For what values of in the interval does attain a relative minimum?

    This occurs when , or the slope function, changes from negative to positive.

  2. At what value of does a critical point that is neither a relative maximum nor a relative minimum exist?

    This occurs when , but does not change from negative to positive.

  3. For what values of in the interval is the graph of concave up?

    This occurs when .