Results 1 to 5 of 5

Math Help - Extend a function to an impair one.

  1. #1
    Junior Member
    Joined
    May 2009
    Posts
    54

    Extend a function to an impair one.

    Hello, I have been ask to extend the following function to [-1,1] such that the new functions becomes impair. The problem is that I don`t know how to do it. Thanks!
    Attached Thumbnails Attached Thumbnails Extend a function to an impair one.-captura-de-pantalla-2011-07-02-las-16.35.39.png  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor FernandoRevilla's Avatar
    Joined
    Nov 2010
    From
    Madrid, Spain
    Posts
    2,162
    Thanks
    45

    Re: Extend a function to an impair one.

    Quote Originally Posted by orbit View Post
    Hello, I have been ask to extend the following function to [-1,1] such that the new functions becomes impair. The problem is that I don`t know how to do it. Thanks!
    In Spanish, función impar is equivalent in English to odd function so, I suppose you mean becomes odd instead of becomes impair . In such a case the problem has no solution because if f is odd then, f(-0)=-f(0)\Rightarrow f(0)=0 .
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    May 2009
    Posts
    54

    Re: Extend a function to an impair one.

    Quote Originally Posted by FernandoRevilla View Post
    In Spanish, función impar is equivalent in English to odd function so, I suppose you mean becomes odd instead of becomes impair . In such a case the problem has no solution because if f is odd then, f(-0)=-f(0)\Rightarrow f(0)=0 .
    Hello,

    thanks. The correct word is odd.

    And thanks for letting me know the problem has no solution. The correct question is now available.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    May 2009
    Posts
    54

    Re: Extend a function to an impair one.

    Quote Originally Posted by orbit View Post
    Hello, I have been ask to extend the following function to [-1,1] such that the new functions becomes impair. The problem is that I don`t know how to do it. Thanks!
    This is the correct question. Sorry!
    Attached Thumbnails Attached Thumbnails Extend a function to an impair one.-captura-de-pantalla-2011-07-03-las-16.44.03.png  
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor FernandoRevilla's Avatar
    Joined
    Nov 2010
    From
    Madrid, Spain
    Posts
    2,162
    Thanks
    45

    Re: Extend a function to an impair one.

    Quote Originally Posted by orbit View Post
    This is the correct question. Sorry!
    Try it. Remember, f:[-a,a]\to \mathbb{R} is odd iff f(-x)=-f(x) for all x\in [-a,a] .
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 20
    Last Post: November 27th 2012, 06:28 AM
  2. Replies: 4
    Last Post: October 27th 2010, 06:41 AM
  3. Replies: 1
    Last Post: October 27th 2010, 06:41 AM
  4. Replies: 3
    Last Post: September 14th 2010, 03:46 PM
  5. Replies: 4
    Last Post: September 29th 2008, 11:41 AM

Search Tags


/mathhelpforum @mathhelpforum