Results 1 to 2 of 2

Math Help - [SOLVED] End Behavior of a function

  1. #1
    Member
    Joined
    Feb 2008
    Posts
    125

    Exclamation [SOLVED] End Behavior of a function

    I am suppose to find the end behavior of

    [(u-1)(u-2)^2(u-3)^3)/((u-1)^3(u-2)^2(u-3))

    I looked at my calculator and what I can determine is
    as x approaches negative infinity f(x) approaches 1 and as
    x approaches positive infinity f(x) approaches 1

    am I doing this right, or is there something I am missing??
    Please Help

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,696
    Thanks
    1467
    Quote Originally Posted by mandy123 View Post
    I am suppose to find the end behavior of

    [(u-1)(u-2)^2(u-3)^3)/((u-1)^3(u-2)^2(u-3))

    I looked at my calculator and what I can determine is
    as x approaches negative infinity f(x) approaches 1 and as
    x approaches positive infinity f(x) approaches 1

    am I doing this right, or is there something I am missing??
    Please Help

    Thanks
    If you were to multiply numerator and denominator out, they would be polymnomials of degree 6 with leading term u^6 (you don't have to actually multiply to see that). If you divide both numerator and denominator by u^6, each will be 1+ terms with u in the denominator. As u goes to either positive or negative infinity the terms with u in the denominator go to 0 so, yes, the whole fraction goes to 1/1= 1.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Determine the end behavior of each function...?
    Posted in the Pre-Calculus Forum
    Replies: 7
    Last Post: September 15th 2010, 10:40 PM
  2. Simple basic function end behavior model
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 4th 2009, 05:41 PM
  3. function behavior
    Posted in the Calculus Forum
    Replies: 3
    Last Post: August 10th 2009, 01:46 AM
  4. Replies: 10
    Last Post: July 15th 2009, 07:17 PM
  5. behavior of a function
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 6th 2006, 08:44 AM

Search Tags


/mathhelpforum @mathhelpforum