What conditions must be met to ensure that a function has an absolute maximum value and an absolute minimum value on an interval?

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Mathematics

Crystal Graves

11 July, 13:49

What conditions must be met to ensure that a function has an absolute maximum value and an absolute minimum value on an interval?

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Maci Hutchinson · Answer 1

The answer is a function must be a continuous function on a closed interval. This is based on the Extreme Value Theorem, this states that a function 'f' that is continuous on a closed interval has an absolute minimum value and an absolute maximum value on that interval.