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: Check if the function is odd or even

  1. Dec 20, 2008 #1
    i know that if f(x)=f(-x) and if f(-x)=-f(x) then its odd.

    i tried to do this check on this cases
    but its not working

    http://img126.imageshack.us/img126/3942/74448798fv8.gif [Broken]
     
    Last edited by a moderator: May 3, 2017
  2. jcsd
  3. Dec 20, 2008 #2

    Hootenanny

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    These questions aren't always straight forward, you need to understand how the functions behave. Let's consider the first case:

    So you have

    [tex]f\left(-x\right) = \log\left(\frac{1+x}{1-x}\right) = \log\left(\frac{1-x}{1+x}\right)^{-1} = - \log\left(\frac{1-x}{1+x}\right) = -f\left(x\right)[/tex]

    Do you follow?
     
  4. Dec 20, 2008 #3

    HallsofIvy

    User Avatar
    Science Advisor

    And, of course, most functions are neither even nor odd.
     
  5. Dec 20, 2008 #4
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook