Let g(x) = - ["mes f(t) dt, where f is the function whose graph is shown. f(t) An 10 20 30 40 x= y XI @ (a) At what values of x do the local maximum values of g occur? (Enter your answers as a comma-separated list.) At what values of x do the local minimum values of g occur? (Enter your answers as a comma-separated list.) (b) Where does g attain its absolute maximum value? (c) Sketch the graph of g. On what intervals is g concave downward? (Enter your answer using interval notation.) 10 20 30 50 40 t 50 X Makam 10 20 10 20 30. 40 30