Show all work for Problem 1. 1. (8 pts) Find the absolute extrema for each function on the given interval. (a) f(x) = 5x - x2 on [0, 5] (b) g(x) = -2x2 + 5x + 10 on [-1, 1]2. (2 pts) Consider the function M1?) = 2x3 - x + 3. Which one of the following is true? A. h is increasing and concave up at x = 2 B. h is increasing and concave down at x = 2 C. h is decreasing and concave up at x = 2 D. h is decreasing and concave down at x = 2 E. h has a relative minimum at x = 2 F. It has an absolute maximum at x = 2