Results 1 to 4 of 4

Math Help - Describe the behavior

  1. #1
    Member
    Joined
    Oct 2007
    Posts
    178

    Describe the behavior

    x-1/(x^2(x+2))
    Describe the behavior to the left ad right of any vertical asymptote.


    I'm using a computer other than my own (no access to mine), so I can't graph anything online.

    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 Truthbetold View Post
    x-1/(x^2(x+2))
    Describe the behavior to the left ad right of any vertical asymptote.


    I'm using a computer other than my own (no access to mine), so I can't graph anything online.

    Thanks.
    well, you actually don't need the graph to tell what the behavior at the ends are. but if you want a graph, here it is. i assume the function is \frac {x - 1}{x^2(x + 2)} ...(you should use parentheses more efficiently)
    Attached Thumbnails Attached Thumbnails Describe the behavior-graph7.jpg  
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Oct 2007
    Posts
    178
    well, you actually don't need the graph to tell what the behavior at the ends are. but if you want a graph, here it is. i assume the function is ...(you should use parentheses more efficiently)
    You're right on both accounts. You got the equation right.
    Why did I want a graph? Oh, now I know why. Still, I need to be able to do it without a graph.

    Thought:
    Right hand: lim as x--> infinity f(x)/g(x) = 1
    Left hand: lim as x--> - infinity f(x)/g(x) = 1

    For the right, after expanding the equation
    \frac {x - 1}{x^3 + 2x^2)}

    We have x/x^3 = \frac {1}{x^2} as the right,
    Guess: and x^3 as the left, though no understanding how to prove, if even right.


    Augh, this should be easy!!
    Does it have to do with this?
    Definition: A polynomial function (real) can be expressed in the form:


    Our teacher, for some odd reason, didn't teach this, but it looks important since it was the first thing on the "Introduction to Calculus Tutorial" sticky on the Calculus board.

    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 Truthbetold View Post
    You're right on both accounts. You got the equation right.
    Why did I want a graph? Oh, now I know why. Still, I need to be able to do it without a graph.

    Thought:
    Right hand: lim as x--> infinity f(x)/g(x) = 1
    Left hand: lim as x--> - infinity f(x)/g(x) = 1

    For the right, after expanding the equation
    \frac {x - 1}{x^3 + 2x^2)}

    We have x/x^3 = \frac {1}{x^2} as the right,
    Guess: and x^3 as the left, though no understanding how to prove, if even right.


    Augh, this should be easy!!
    Does it have to do with this?
    Definition: A polynomial function (real) can be expressed in the form:


    Our teacher, for some odd reason, didn't teach this, but it looks important since it was the first thing on the "Introduction to Calculus Tutorial" sticky on the Calculus board.

    Thanks!
    ok...what are you talking about? what is f(x) and g(x)?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Describe the behavior after finding the gerneral solution
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: March 7th 2010, 10:57 PM
  2. End-Behavior Asymptote
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 1st 2010, 08:47 PM
  3. Replies: 2
    Last Post: December 16th 2009, 02:49 AM
  4. Replies: 1
    Last Post: November 27th 2008, 01:24 PM
  5. Behavior as x,y -> infty
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 5th 2008, 07:36 PM

Search Tags


/mathhelpforum @mathhelpforum