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please show your work to help me better understand The function f(x) = - 2x* + 30x - 96 + 11 has one local minimum

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please show your work to help me better understand

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The function f(x) = - 2x* + 30x - 96 + 11 has one local minimum and one local maximum. This function has a local minimum at r = with value and a local maximum at r = with value

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