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Absolute maximum and minimum on a closed interval

Increasing functions and extremes

Concept 6 of 6 in Application of Derivatives

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Think about this

On [−1,4][-1, 4], f(x)=x2−2xf(x) = x^2 - 2x has one flat point, its valley bottom x=1x = 1, where f(1)=−1f(1) = -1. What is the greatest value of ff on [−1,4][-1, 4]?