General Question

zarnold's avatar

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

Asked by zarnold (695points) October 24th, 2007
Observing members: 0 Composing members: 0

2 Answers

Perchik's avatar

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.

Answer this question

Login

or

Join

to answer.

This question is in the General Section. Responses must be helpful and on-topic.

Your answer will be saved while you login or join.

Have a question? Ask Fluther!

What do you know more about?
or
Knowledge Networking @ Fluther