Use the following information to sketch the graph of a continuous function with the following properties: (a) f (-3) = 5,f (0) = 2, f (3) = 0 (b) f'(x) > 0on (-00,-3) U (3,00) and f'(x) <0 on (-3,3) (c) f"(x) <0for x < Oand f"(x) > 0for x > 0 Using the given information and your sketch, decide which of the following statements is false. O 1) (0, 2) is a point of inflection. 2) The function decreases on the interval (-3, 3) 3) The function is concave upward when x < 0 4) (-3, 5) is a local maximum

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