1. (10 points) Sketch the graph of a continuous function on -2,4 with the following prop- erties: . f'(-1) = f'(0) = 0; . f has an absolute maximum at r = 2; . f has an absolute minimum at r = 4; . f has a local minimum at r = 0 2. (10 points) Find the critical points of the following functions. (a) f(x) = 15 - 10x3 - 8 (b) g(r) = 4red I 3. (10 points) Find the absolute maximum and absolute minimum of f(x) = on (x2 + 3)2 -2