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

  1. For what value(s) of does attain a relative minimum?

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

  2. At what value(s) 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 is the graph of concave up?

    This occurs when .

Continuous curve labeled, f prime of x, coming from upper left, passing through (negative 4, comma. 0), turning at approximate points, (negative 3, comma negative 3), at the origin, & @ (2, comma negative 1), passing through (3, comma 0), continuing up & right.