3. Sketch the graph of a function f(x) with all of the following properties: (10 points) lim f(x) = -co and lim f (x) = 3 x - -00 X -00 X - - 4- lim_f(x) = 1 and lim f(x) = -1 x - -4+ > f(-4) = 0 and f (-1) = 3 > f is not differentiable at x = -1 > lim f (x) = 0. > f'(0) = 0 and f' (4) = 0 > f is increasing on (-0o, -1) U (0, 2) U (4, 00)