The figure below gives the behavior of the derivative of on .


Graph of (not )
(Click on the graph to get a larger version.)

Sketch a graph of and use your sketch to answer the following questions.

A. Where does the graph of have inflection points?

Enter your answer as a comma-separated list of values, or enter none if there are none.

B. Where are the global maxima and minima of on ?
minimum at
maximum at

C. If , what are possible values for ?
is in
(Enter your answer as an interval, or union of intervals, giving the possible values. Thus if you know , enter (-1,3]. Enter infinity for , the interval [2,2] to indicate a single point).

How is the value of related to the value of ?

(Enter the appropriate mathematical equality or inequality, , , , etc.)