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12-58.
  1. The graph below shows the graph of the derivative of f(x). Give approximate answers to the questions below and justify your responses. Homework Help ✎

    1. a. For what values of x in the interval [−4, 4] does f attain a relative minimum?

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

    3. For what values of x in the interval [−4, 4] is the graph of f concave up?

This occurs when f′(x), or the slope function, changes from negative to positive.

This occurs when f′(x) = 0, but does not change from negative to positive.

This occurs when f′(x) > 0.