4. (7 points) Sketch the graph of a function with the following characteristics. Label the x-axis, y-axis, origin, critical points, extrema and inflection points if any: (a) f(3) = -2; ( b) f' ( - 1) = f' (5) = 0; (c) f'(x) > 0 on the interval (-1, 5); (d) f'(x) 0 on the interval (-co, 3); (f) f"(x)