The figure below gives the behavior of the derivative of $g(x)$ on $-2\le x\le 2$.

Graph of $g'(x)$ (not $g(x)$)
(Click on the graph to get a larger version.)

Sketch a graph of $g(x)$ and use your sketch to answer the following questions.

A. Where does the graph of $g(x)$ have inflection points?
$x =$
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 $g$ on $[-2,2]$?
minimum at $x =$
maximum at $x =$

C. If $g(-2) = -8$, what are possible values for $g(0)$?
$g(0)$ is in
(Enter your answer as an interval, or union of intervals, giving the possible values. Thus if you know $-5 < g(0) \le -2$, enter (-5,-2]. Enter infinity for $\infty$, the interval [1,1] to indicate a single point).

How is the value of $g(2)$ related to the value of $g(0)$?
$g(2)$ $g(0)$
(Enter the appropriate mathematical equality or inequality, $=$, $<$, $>$, etc.)