\text { Let } g(x)=\int_{0}^{x} f(t) d t, \text { where } f \text { is the function whose graph is shown. } \text { (a) At what values of

} x \text { do the local maximum and minimum values of } g \text { occur? } (b) Where does g attain its absolute maximum value? (c) On what interval is g concave downward? (Enter your answer using interval notation.) (d) Sketch the graph of g.