Question

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

(a) On what intervals 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) the point (s) of inflection.

(e) Assuming that sketch a graph of f.