Results 1 to 4 of 4

Thread: Do all linear functions have a natural domain/range of all real numbers?

  1. #1
    Newbie
    Joined
    Mar 2017
    From
    East Coast
    Posts
    1

    Exclamation Do all linear functions have a natural domain/range of all real numbers?

    Do all linear functions have a natural domain of all real numbers?


    Do all linear functions have a range of all real numbers?

    Explain, because I'm still a bit muddled on the topic and don't know how to write it all out!

    Much thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    15,956
    Thanks
    3577

    Re: Do all linear functions have a natural domain/range of all real numbers?

    Domain of a linear function is all reals, however, not all linear functions have a range of all reals ... consider the linear function $y = k$ where $k$ is a constant.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    6,566
    Thanks
    1708

    Re: Do all linear functions have a natural domain/range of all real numbers?

    Hey ellenoel.

    What do you define for linear functions?

    Do you use y = ax + b or do you use the f(x+y) = f(x) + f(y) and f(ax) = a*f(x)?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Mar 2017
    From
    Toronto
    Posts
    4

    Re: Do all linear functions have a natural domain/range of all real numbers?

    The domain of a linear function in the form of y=mx+b have a domain of x=all real numbers, and a range of y=all real numbers, unless the slope (m) of the line equals zero. In that case it becomes y=b, where all values of x will have the same y value or range. The line of a constant. I hope this helps. ��
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: Sep 20th 2012, 04:55 PM
  2. Domain & Range of functions
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Mar 4th 2011, 01:40 AM
  3. Real numbers and natural logs
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: Jan 11th 2009, 05:04 PM
  4. natural domain of functions.
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: Jan 13th 2008, 08:10 PM

Search Tags


/mathhelpforum @mathhelpforum