Maximum-minimum theorem
Revision as of 22:24, 14 February 2008 by Shreyas patankar (talk | contribs) (New page: The '''Maximum-minimum theorem''' is a result about continous functions that deals with a property of intervals rather than that of the function itself. ==Statement== Let <math>f:[a,b]\ri...)
The Maximum-minimum theorem is a result about continous functions that deals with a property of intervals rather than that of the function itself.
Statement
Let ![$f:[a,b]\rightarrow\mathbb{R}$](http://latex.artofproblemsolving.com/6/7/c/67c320754a36aaec178e61f04bfcbac41c0bf675.png)
Let 
be continous on ![$[a,b]$](http://latex.artofproblemsolving.com/8/e/c/8ecbd1ba3da8f2adef66a63f2ab32c47e63fa734.png)
Then, has an absolute maximum and an absolute minimum on
