Results 1 to 4 of 4

Math Help - natural domain of functions.

  1. #1
    Member
    Joined
    Jan 2008
    Posts
    91

    natural domain of functions.

    hey..any help would be greatly appreciated. been trying to figure this one out for a quite a while now..

    let t(x) = 4x + 3 if x<= -3
    4 + 2x - x^2 if -2< x < 2
    e^x if x > 2

    its a piecewise function im assuming...the question asks....
    "Find the natural domain of the function 't'

    thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by b00yeah05 View Post
    hey..any help would be greatly appreciated. been trying to figure this one out for a quite a while now..

    let t(x) = 4x + 3 if x<= -3
    4 + 2x - x^2 if -2< x < 2
    e^x if x > 2

    its a piecewise function im assuming...the question asks....
    "Find the natural domain of the function 't'

    thanks
    what does "natural" domain mean?

    i know about the domain, this is simply all the input values we can have.

    we have all x less than or equal to -3 covered by the first piece of the function, we have x's that are greater than -2 but less than 2 covered by the second piece, and all x's greater than two covered by the third piece. thus the domain of t(x) is given by:

    \mbox{dom}(t) = (-\infty, 3] \cup (-2,2) \cup (2, \infty)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jan 2008
    Posts
    91
    thanks for your help jhevon. i know how you get those values but im just trying to think of how the working would be showed in order to get those values. any idea??
    thanks
    Follow Math Help Forum on Facebook and Google+

  4. #4
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by b00yeah05 View Post
    thanks for your help jhevon. i know how you get those values but im just trying to think of how the working would be showed in order to get those values. any idea??
    thanks
    there is really no working to do here. you just look at what values the function is defined for and restate them...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Finding domain of a function with natural log
    Posted in the Calculus Forum
    Replies: 4
    Last Post: January 17th 2012, 06:14 AM
  2. Natural domain question
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: March 31st 2011, 04:22 AM
  3. domain of two-variable, natural log function.
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 2nd 2009, 12:33 PM
  4. natural domains of the following functions
    Posted in the Pre-Calculus Forum
    Replies: 9
    Last Post: January 14th 2008, 01:09 AM
  5. Natural Domain
    Posted in the Calculus Forum
    Replies: 11
    Last Post: August 25th 2006, 08:52 AM

Search Tags


/mathhelpforum @mathhelpforum