A function f that is continuous and twice differentiable for x 3 satisfies the following: f(0) = -5, f (2) = -1, lim f(x) = -0, lim f(x) = -o, lim f(x) = 0, lim f(x) = 1, x43 x+3+ f(x) < 0 for x < 0 and for x > 2 and x # 3; f (x) > 0 for 0 < x < 2 B f (x) < 0 for x < 3 and x 0; f (x) > 0 for x > 3. (a) (3 points) If there is any, indicate the asymptote(s). (b) (8 points) Construct the sign table consisting of the intervals on which the function is increasing/decreasing and concave up/down. (c) (2 points) If there is any, find the inflection point(s), local maximum/minimum point(s). (d) (7 points) Sketch the curve