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Sketch the graph of a function f with the following properties:
(i) f(-3) = 0, f(-1) = 3; (ii) Asymptotes: x = 2, and y = -1; (iii) f '(3) does not exist, f(3) = 2; (iv) f '(x) > 0 for x < -1 and 2 < x < 3, f '(x) < 0 for -1 < x < 2 and x >3; (v) f ''(x) > 0 for x < -3 and x > 3, f ''(x) < 0 for -3 < x < 3.