Results 1 to 5 of 5
Like Tree3Thanks
  • 1 Post By grillage
  • 2 Post By grillage

Math Help - Trouble with graphing question.

  1. #1
    Junior Member
    Joined
    Mar 2013
    From
    Unknown
    Posts
    73
    Thanks
    2

    Exclamation Trouble with graphing question.

    The question goes like this:

    Sketch the graph of y = 5 / x^2(x+3) , indicating clearly the equations of any asymptotes and turning points.
    Hence, find the range of values of k if the number of real roots of the equation kx^2(x+3)=5 , where k is a constant is :

    (i) three

    (ii) one

    The answer for the parts are (i) k>1.25
    (ii) k<1.25,


    How should i approach this question? and how can i find the asymptotes? thank you!!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Aug 2012
    From
    Malta
    Posts
    81
    Thanks
    13

    Re: Trouble with graphing question.

    To me, your equation is a little ambiguous, and it could be interpreted in several ways. Can you try to be more clear? Is it like this:

    \frac{5}{x^{2}(x+3)}
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Mar 2013
    From
    Unknown
    Posts
    73
    Thanks
    2

    Exclamation Re: Trouble with graphing question.

    Sorry for the late reply! Yes it is.

    For kx^2(x+3)=5 it is

    k.x^2 * (x+3) =5
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Aug 2012
    From
    Malta
    Posts
    81
    Thanks
    13

    Re: Trouble with graphing question.

    So think about what makes an asymptote. It is when a function heads off toward infinity right? So see what happens when x becomes extremely large, or extremely small. Also, think of values of x that will make y extremely large or extremely small. That might give you a starting point. Hopefully you know how to find turning points by taking the derivative and looking for solutions giving 0 gradient.
    Last edited by grillage; June 23rd 2013 at 02:24 AM.
    Thanks from pumbaa213 and topsquark
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Mar 2013
    From
    Unknown
    Posts
    73
    Thanks
    2

    Re: Trouble with graphing question.

    Oh i see... thanks alot grillage!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. I am having trouble graphing this.
    Posted in the Trigonometry Forum
    Replies: 5
    Last Post: October 15th 2010, 04:18 PM
  2. help!!! trouble with this question
    Posted in the Calculus Forum
    Replies: 0
    Last Post: May 27th 2010, 06:49 PM
  3. Having real trouble with this question...
    Posted in the Advanced Math Topics Forum
    Replies: 1
    Last Post: November 1st 2009, 10:29 PM
  4. Simple graphing problem giving me trouble
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: July 15th 2007, 12:16 PM
  5. I'm having some trouble with graphing inequalities
    Posted in the Pre-Calculus Forum
    Replies: 6
    Last Post: May 12th 2007, 03:56 PM

Search Tags


/mathhelpforum @mathhelpforum