Results 1 to 2 of 2

Thread: help me solve this problem please..

  1. Dec 13th 2009, 09:14 PM #1
    felixmcgrady
    felixmcgrady is offline
    Junior Member
    Joined
    Sep 2008
    Posts
    39

    help me solve this problem please..

    f: R to R. For all open subset U of R, we have f(U) is open, too.


    Prove that: f is monotonic.
    Follow Math Help Forum on Facebook and Google+
  2. Dec 14th 2009, 08:28 AM #2
    redsoxfan325
    redsoxfan325 is offline
    Super Member redsoxfan325's Avatar
    Joined
    Feb 2009
    From
    Swampscott, MA
    Posts
    943
    Quote Originally Posted by felixmcgrady View Post
    f: R to R. For all open subset U of R, we have f(U) is open, too.


    Prove that: f is monotonic.
    If f is not monotonic, it will have a local extremum at some point x_0. What can you say about an open ball around f(x_0)?
    Follow Math Help Forum on Facebook and Google+
« poincare: find the distance between the points | Sequence of functions »

Similar Math Help Forum Discussions

  1. Given the problem is it possible to solve?
    Posted in the Algebra Forum
    Replies: 1
    Last Post: Jan 7th 2010, 12:33 AM
  2. Solve the problem.
    Posted in the Algebra Forum
    Replies: 5
    Last Post: Nov 26th 2009, 10:05 AM
  3. How to solve a log problem???
    Posted in the Algebra Forum
    Replies: 1
    Last Post: Nov 11th 2009, 02:36 PM
  4. How can i solve the problem?
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: Jan 17th 2009, 02:20 PM
  5. Some help with a problem I'm trying to solve?
    Posted in the Geometry Forum
    Replies: 0
    Last Post: Apr 10th 2008, 06:29 PM

Search Tags


/mathhelpforum @mathhelpforum