Results 1 to 4 of 4

Math Help - horizontal asymptotes

  1. #1
    Member
    Joined
    Jul 2008
    Posts
    89

    horizontal asymptotes

    I am helping a friend and I am trying to remember if this is the correct way to figure out this horizontal asymptote?

    equation:

    1.493x^2 - 39.06x + 273.5
    D = ---------------------------
    0.0051x^2 - 0.1398x + 1

    1.493
    ------- = 292.745098
    0.0051

    y = 292.745098 horizontal asymptote

    is this correct?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by robasc View Post
    I am helping a friend and I am trying to remember if this is the correct way to figure out this horizontal asymptote?

    equation:

    1.493x^2 - 39.06x + 273.5
    D = ---------------------------
    0.0051x^2 - 0.1398x + 1

    1.493
    ------- = 292.745098
    0.0051

    y = 292.745098 horizontal asymptote

    is this correct?
    Yes.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Jun 2008
    Posts
    792
    Yes, your way is correct. To understand why/how, take the limit of your rational function as x goes to infinity.

    f(x) = \frac{1.493x^2 - 39.06x + 273.5}{0.0051x^2 - 0.1398x + 1}

    \lim_{x \to \pm \infty} \frac{1.493x^2 - 39.06x + 273.5}{0.0051x^2 - 0.1398x + 1}

    = \lim_{x \to \pm \infty} \frac{1.493x^2}{0.0051x^2}

    = \frac{1.493}{0.0051} = 292.745098
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Jul 2008
    Posts
    89

    one more question

    This question is is states that

    D is national defense outlays in billions of dollars ranging from 7 to 15
    where 7 = 1997.

    Determine the horizontal asymptote of the graph of the model. What does it represent in the context of the situation.

    Ok, I know what the horizontal asymptote is and I believe it means that from 1998 to 2005 there is a rise in defense outlays, is this correct?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Horizontal asymptotes
    Posted in the Pre-Calculus Forum
    Replies: 7
    Last Post: July 13th 2010, 04:51 AM
  2. Horizontal asymptotes
    Posted in the Calculus Forum
    Replies: 3
    Last Post: June 2nd 2010, 09:25 AM
  3. horizontal asymptotes
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 18th 2010, 09:29 AM
  4. horizontal asymptotes
    Posted in the Calculus Forum
    Replies: 5
    Last Post: February 8th 2009, 06:14 PM
  5. Horizontal Asymptotes
    Posted in the Calculus Forum
    Replies: 3
    Last Post: November 8th 2007, 06:01 PM

Search Tags


/mathhelpforum @mathhelpforum