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2 A function is continuous on the closed interval 3 3 such that f 3 4 and f 3 1 The functions f x and

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2 A function is continuous on the closed interval 3 3 such that f 3 4 and f 3 1 The functions f x and f x have the properties given in the table below x f x f x 3 1 x 1 1 1 x 1 1 3 Positive Fails to exist Negative Zero Negative Positive Fails to exist c On the axes provided sketch a graph of f x Positive Zero Negative a What are the x coordinates of absolute maximum and minimum points of on the interval 3 3 Justify your answer b What are the x coordinates of all points of inflection on the interval 3 3 Justify your answer ty

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