(2) [12 pts] Sketch the graph of a function f that has the following given properties. Identify critical numbers, local extrema, inflection points, and asymptotes. Assume f and its derivatives exist and are continuous everywhere unless the contrary is implied or explicitly stated. (a) f(0) = 0, f(2) = 3, f(4) is undefined, f(7) = 0, f(10) = 1 (b) limx-4- f(x) = -00 limx-4+ f (2) = 00 (c) limx -co (f (ac) + 2 + 2) = 0 limx-> (f (a) - 2) = 0 (d) f'(x) > 0 on (0, 2) and (7, co); f'(x) 0 on (-co, 0) and (4, 10); f"(x)