1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Max-Min Theorem

  1. Mar 29, 2007 #1
    Hi, just trying to do some homework for college and I can't get my head around this question. It is a question to show that if you take away the condition of a function being continuous, the max-min theorem no longer holds true. Any help is greatly appreciated!

    Suppose that f: [a,b] -> R is not continuous. Show that f need not have an absolute maximum and an absolute minimum on [a,b]. (Answer in graphical form)
     
  2. jcsd
  3. Mar 29, 2007 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Tell me about f(x)=1/(x-a) if x not equal to a and f(x)=0 if x=a. Then graph it.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook