Mathematics

Problem

The Extreme Value Theorem can be applied only when certain hypotheses are met. Which of the following conditions is REQUIRED for the theorem to guarantee both an absolute maximum and an absolute minimum for a function

f

on an interval

I

? a)

f

is differentiable on

I

. b)

I

is closed and

f

is continuous on

I

. c)

f

is bounded on

I

. d)

I

is open and

f

is continuous on

I

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