1. Not finding help here? Sign up for a free 30min 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!

How is y=0 an odd function?

  1. Nov 25, 2007 #1
    How is y=0 an odd function when it isn't symmetric to the origin?
     
  2. jcsd
  3. Nov 26, 2007 #2

    benorin

    User Avatar
    Homework Helper

    Sure it is. Consider f(x)=0 and recall the definition of an odd function.
     
  4. Nov 26, 2007 #3

    CompuChip

    User Avatar
    Science Advisor
    Homework Helper

    Note here, that for any function f in general, it's not necessary that f is either odd or even; nor that it cannot be both. You've found an example of the latter :smile:
     
    Last edited: Nov 26, 2007
  5. Nov 26, 2007 #4

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Did you mean "odd" and "even"? f(x)= 0 is clearly a closed function, certainly not open!
    It is definitely both even and odd.
     
  6. Nov 26, 2007 #5

    CompuChip

    User Avatar
    Science Advisor
    Homework Helper

    Heh, just read a topology thread. I was thinking "odd" and "even", but I wrote "open" and "closed". Still a bit sleepy probably :O
    I'll change my post
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: How is y=0 an odd function?
Loading...