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!

Piece-wise Function

  1. Aug 31, 2005 #1
    I'm doing a review of fuctions, and a nagging question popped up in my mind after completing this problem.

    After graphing y = |x| + x, express this equation as a piece-wise function with no absolute values.

    I did graph it; it was simple (following is a sketch without values):
    ------------/
    -----------/
    _________/

    Now the final answer included } y = 0, where x<and=0, and y = 2x, where x>0. I found the equations by looking/calculating the slope for each separate piece. However, what I do not understand is why is it x>0 INSTEAD of x>AND=0 for y = 2x. This is perhaps trivial and easy, but I don't comprehend the reason.

    Thanks for your patience.
     
  2. jcsd
  3. Aug 31, 2005 #2

    TD

    User Avatar
    Homework Helper

    Since y = 0 for x = 0, it seems to me that you could include 0 in either of the two functions.
     
  4. Sep 1, 2005 #3

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    It doesn't matter which side you put x=0 into since the function is continuous at 0.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?