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For each graph below, state the intervals where the function is increasing and decreasing.

  1. Continuous curve, coming from lower left, turning at (negative 3, comma 2), & at (2, comma negative 2), continuing up & right.

    For which values of  is  increasing, and for which values of  is  decreasing?

    Increases when  and ,

    decreases when 

  1. Continuous linear piecewise, coming from upper left, passing through x axis, between negative 4 & negative 3, turning at (negative 2, comma negative 4), turning at (1, comma 1), passing through x axis, between 1 & 2, continuing down & right.

    See the hint in part (a).

  1. For part (a) on the interval in which the function is decreasing, is the rate of decrease constant? How do you know?

    Describe the shape of the graph where the function is decreasing? Is it curvy or linear? Is it steep or smooth or does it change?