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Please show your work and thinking. 7. Sketch the graph of a function that satisfies all of the given conditions. For each condition describe the

Please show your work and thinking.

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7. Sketch the graph of a function that satisfies all of the given conditions. For each condition describe the behavior of the graph. Label axes clearly. (16 points) f is odd lim f = co and lim f = -co x-+ 0- x- 0+ lim f = 0 and lim f = 0 x-+ 00 x -+ -0 f'(x) 3 f'(x)> 0if - 3 0if - 5 5 What are the points of inflection for your graph? (4 points)

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