The figure below gives the behavior of the derivative of [math] on [math].


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

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

A. Where does the graph of [math] have inflection points?
[math]
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 [math] on [math]?
minimum at [math]
maximum at [math]

C. If [math], what are possible values for [math]?
[math] is in
(Enter your answer as an interval, or union of intervals, giving the possible values. Thus if you know [math], enter (5,8]. Enter infinity for [math], the interval [-3,-3] to indicate a single point).

How is the value of [math] related to the value of [math]?
[math] [math]
(Enter the appropriate mathematical equality or inequality, [math], [math], [math], etc.)