In Problem f'(x) and its graph are given. Use the graph of f'(x) to determine the following.
(a) Where is the graph of f(x) concave up and where is it concave down?
(b) Where does f(x) have any points of inflection?
(c) Find f"(x) and graph it. Then use that graph to check your conclusions from parts (a) and (b).
(d) Sketch a possible graph of f(x).