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Suppose f(x) = (x - 2)(x - 7)3 + 7. Find the absolute extrema of f on each of the following intervals. Note: Enter NONE

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Suppose f(x) = (x - 2)(x - 7)3 + 7. Find the absolute extrema of f on each of the following intervals. Note: Enter NONE wherever no absolute extrema exist. (a) Interval = [1, 4]. Absolute maximum: Absolute minimum: (b) Interval = [1, 8]. Absolute maximum: Absolute minimum: (c) Interval = [4, 9]. Absolute maximum: Absolute minimum

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