Intermediate Value Theorem

Monday, 2 April 2018

6:48 PM

Suppose that  is a continuous function on the closed interval

If  lies below  and  then there exists at least one real number  in  such that

 

Usage of the IVT

Proves that  exists in

1. Show that  is continuous over
2. Show that

 

Suppose that  is defined on a closed interval

We say that point  is an absolute minimum point if

 

 

 

 

F continuous

Closed domain
LUB