Re: extreme value theorem

Posted by economist on Feb 09, 2014; 2:48pm
URL: http://discussion-forum.276.s1.nabble.com/extreme-value-theorem-tp7584693p7584711.html

You are confusing extreme points with boundry points. A and b in this example are boundry points and need not be extreme points per se. But if its given that they are extreme points  BUT SILENT ABOUT  WHICH ONE OF THEM IS MIN AND WHICH ONE IS MAX. only thing we can say is function is montonic. NOTE THAT IT CAN BE INCREASING OR DECREASING AND IT NEED NOT BE STRICTLY MONOTONIC. as exreme value theorem doesnt say anything about UNIQUENESS.