Chapter 5.3, Problem 74E

Let $g(x)={\displaystyle {\int }_0^{x}f(t)dt}$, where f is the function whose graph is shown.

(a) At what values of x do the local maximum and minimum values of g occur?

(b) Where does g attain its absolute maximum value?

(c) On what intervals is g concave downward?

(d) Sketch the graph of g.