Results 1 to 3 of 3

Math Help - Piecewise Function with Absolute Value fraction

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    2

    Piecewise Function with Absolute Value fraction

    Write h(x) into a piecewise function.

    h(x) = 1 / |x - 1|

    Read as: h of x equals one over absolute value x minus 1

    My instructor also wrote x < 1, x > 1, and x = 1 on the side. Don't know what those mean though...
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,692
    Thanks
    450
    h(x) = \frac{1}{|x-1|}

    at x = 1, h(x) is undefined

    for x > 1, h(x) = \frac{1}{x-1}

    for x < 1, h(x) = -\frac{1}{x-1}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Feb 2009
    Posts
    2
    That's it? Nothing else?

    I was writing it like this:
    (1 / x - 1) > 1
    (1 / -x + 1) < 1
    1 / 0 is undefined

    Nevermind, I think I understand...again.
    Last edited by mad4math; February 23rd 2009 at 06:20 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 14
    Last Post: October 7th 2011, 09:45 PM
  2. absolute value to piecewise
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: September 18th 2011, 02:54 PM
  3. Replies: 2
    Last Post: February 5th 2011, 10:54 PM
  4. Replies: 1
    Last Post: June 7th 2010, 12:23 PM
  5. Absolute Values and piecewise functions
    Posted in the Algebra Forum
    Replies: 8
    Last Post: August 26th 2008, 04:43 PM

Search Tags


/mathhelpforum @mathhelpforum