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!

Determining if a function is odd or even

  1. Oct 23, 2013 #1
    1. The problem statement, all variables and given/known data


    2. Relevant equations

    3. The attempt at a solution

    $$f(-x)=\begin{cases} -x+5,\quad -2<x<0 \\ x+5,\quad 0≤x<2 \end{cases}\\ =f(x)$$

    The issue is that I can't get to the second step. I know the function is even.
  2. jcsd
  3. Oct 23, 2013 #2


    User Avatar
    Homework Helper

    You should have
    $$f(-x)=\begin{cases} -x+5,\quad -2<-x<0 \\ x+5,\quad 0≤-x<2 \end{cases}$$

    (You need to substitute -x for x in the inequalities as well.)
  4. Oct 24, 2013 #3


    User Avatar
    Staff Emeritus
    Science Advisor

    I have no idea what you mean by "the second step". (What was the first step?) Just use the definition of "even function".

    If -2< x< 0 then 0< x< 2 so f(-x)= (-x)+ 5= -x+ 5= f(x).
    If 0< x< 2 then -2< x< 0 so f(-x)= -(-x)+ 5= x+ 5= f(x).
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Discussions: Determining if a function is odd or even
  1. Even or odd function (Replies: 1)

  2. Even or odd functions (Replies: 3)

  3. Odd or even function? (Replies: 7)