Question

The graph of the derivative f' of a continuous function is shown.

(a) On what interval is f increasing? Decreasing?

(b) At what values of x does f have a local maximum? Local minimum?

(c) On what intervals is f concave upward? Concave downward?

(d) State the x-coordinate(s) of the point(s) of inflection.

(e) Assuming that f(0)=0, sketch a graph of f.