Results 1 to 4 of 4

Math Help - graph funtions

  1. #1
    Newbie
    Joined
    Mar 2008
    Posts
    14

    graph funtions

    f(x) = (x-1)/ sqrt(x^2-x-2)

    so far i know...
    1. that x^2-x-2 can be factored to (x+1)(x-2)

    2. region of x-values where f(x) is undefined

    3. vertical asmptote at 2 and -1

    4. horizontal at 1 and -1

    Now basically i will be graded on my graph ... so if anyone know what the graph will look like.... I will appreciate a lot.

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jan 2008
    Posts
    588
    Thanks
    87
    It will look like a hyperbola. The asymptotes you have found are correct. If you went a step further and found the limit as x -> -1 and 2, you would have found that y -> infinity
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,829
    Thanks
    123
    Quote Originally Posted by darkangel View Post
    f(x) = (x-1)/ sqrt(x^2-x-2)

    ...
    4. horizontal at 1 and -1

    ...
    If x approaches infinity the graph of this function will approach the asymptote y = 1 from below because the graph has a minimum point at P_{min}\left(5\ ,\ \frac23 \cdot \sqrt{2} \approx 0.9428...\right)
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Mar 2008
    Posts
    14
    aite thanks for ur replies i will try to finish it, later on today
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Funtions and Primitives
    Posted in the Calculus Forum
    Replies: 1
    Last Post: July 7th 2009, 06:11 AM
  2. types of funtions
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: September 15th 2008, 05:23 PM
  3. trigonometic funtions
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: June 9th 2008, 04:32 AM
  4. sum of two lipschitz funtions
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 13th 2007, 02:24 PM
  5. inverse funtions
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: October 24th 2006, 06:00 AM

Search Tags


/mathhelpforum @mathhelpforum