11. Consider the graph of the function y = f (x) given to the right. 3 2 a. At what values of x is f discontinuous? Classify each discontinuity. b. At what values of x is f not differentiable? -2 2 3 --1 c. Carefully sketch the graph of f'. -2 d. Consider g(x) = x2f (x). Find an expression g'(x) -3 using f and f'. e. Estimate g'(-2) and g'(3). 12. Sketch the graph of a function y = f(x) defined over -5 S x S 5 that satisfies each of the following. Note: There are many possible correct answers. f has an infinite discontinuity at x = -3. lim f(x) = 0 x--1 . f is discontinuous at x = -1 f is differentiable at x = 1 . f is continuous but not differentiable at x = 2 . lim, f (x) does not exist x-41