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1. Sketch a graph with all the following characteristics: . f (x) is continuous everywhere but x = 1 . f' (x) > 0 on

1. Sketch a graph with all the following characteristics: . f (x) is continuous everywhere but x = 1 . f' (x) > 0 on (-2, 1) U (1, co) and f'(x) 0 on (-oo, 1) and f"(x) -00 . lim f(x) = co and lim f(x) = -0% x-1 x-1+

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