Question: Please help me answer my assignment. A. Sketch the graph of a function f such that . f is continuous on (-00, co) and differentiable

Please help me answer my assignment.

A. Sketch the graph of a function f such that . f is continuous on (-00, co) and differentiable everywhere except 6 . f(0) = 2, f(-2) = -3, f(1) = 4, f(9) = 3 and f (6) = 1 . f'(-2) = 0, f'(1) = 0, f'(9) =0. . lim f(x) = 0, and lim f'(x) = -co and lim f(x) = 00. I-+00 1 +6- T-+6+ . f'(x) 0 on (-2, 1), and (6, 9). . f"(x) 0 on (-co, 0), and (12, 00). For full marks clearly and carefully label all intercepts, relative extrema, inflection points and asymptotes. 4 3 2 1 13 -2 -1 1 2 3 4 5 6 7 8 9 10 11 12 - 1 -2 -3

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