Sketch the graph of a function f that has all the following properties:

a. The graph has discontinuities at x = −1 and at x = 3

b. f'(x) > 0 for x < 1, x ≠1

c. f'(x) < 0 for x > 1, x ≠ 3

d. f"(x) > 0 for x < −1 and x > 3 and f"(x)  0 for −1 < x < 3

e. f(0) = 0 = f (2), f(1) = 3