8. (12 points) Sketch a graph of a function f (x) with the following properties: lim f(x) = 00 . f(1) = 0 lim f(x) = 2 and lim f(x) = -3 . lim f(x) = 00 I-+-5- x- -5+ . f"(x) > 0 on the interval (-5, 2) . f"(x) > 0 on the interval (2, co) . f'(x) > 0 on the interval (-2, 2) . f'(x)