Question

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

 

(a) On what intervals is increasing ? Decreasing?

 

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

 

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

 

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

 

(e) Assuming that  , sketch a graph of .