Sketch the graph of a function f that has all of 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
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