Does a constant function violate the extreme value theorem? Why/why not?

Does a constant function violate the extreme value theorem? Why/why not?
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1 Answer

Answer :

answer:I feel like I’d be doing your homework for you if I answered this. The extreme value thm says that a continuous function on [a,b] will have a max and min in that range. Think about the definition of max and min, in regards to a constant function. The answer to your question depends on how you define those two terms. If you say the max can equal the min, then you’ll have one answer; if you say they have to be unique, you’ll have the other answer.
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