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Math Help - The Hitchhiker's Guide to Aymptotes

  1. #1
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    Lightbulb The Hitchhiker's Guide to Aymptotes

    Hello there budding Mathematicians! (hope i spelled that right)

    Here is a quick snappy solution to vertical asymptotes, and trust me, it SUPA EASY!!

    The post will probably be REALLY small (cuz its so ez).. Here we go!

    ASYMPTOTES:

    Some General History: Asymptotes were created by..... Naaaah lets skip to the math.

    How do you calculate them:

    Simple! Let this be your function:

    y=a/b

    a can be any equation eg. ax2+bx+c or even simply x+b.. it can be anything
    b can also be any equation... but its the thing that replaces b (the equation at b) that it important...

    Now, to get the asymptote, simply grab the equation at b, e.g the denominator of the function (b) was x-1.
    So we take that equation and simply add '= 0' to it...

    x-1 = 0


    .... TADAAAA.. Now simply solve for x and BOOM you got your asymptote!!!

    One more example..
    y = x2+2x-3/x2-5x-6


    In this case, our 'b' is x2-5x-6... so we grab it and put an '= 0' at the end..



    x2-5x-6 = 0..
    So now,
    (x-6)(x+1) = 0
    And thus,
    x=6 or x=-1

    BOOM you got your asymptotes

    Well folks, thats about it! Comment if you got any questions!


    Peace out!
    Last edited by skeeter; October 22nd 2012 at 04:34 PM. Reason: removed objectionable language ...
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  2. #2
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    Re: The Hitchhiker's Guide to Aymptotes

    just because a factor in the denominator = 0 , that does not mean there is always a vertical asymptote there ...

    have you considered point discontinuities?
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  3. #3
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    Re: The Hitchhiker's Guide to Aymptotes

    What was you point in posting this? You clearly have no idea what "asymptotes" are but did not ask a question about them.
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    Re: The Hitchhiker's Guide to Aymptotes

    Quote Originally Posted by implode View Post
    Hello there budding Mathematicians! (hope i spelled that right)

    Here is a quick snappy solution to vertical asymptotes, and trust me, it SUPA EASY!!

    The post will probably be REALLY small (cuz its so ez).. Here we go!

    ASYMPTOTES:

    Some General History: Asymptotes were created by..... Naaaah lets skip to the math.

    How do you calculate them:

    Simple! Let this be your function:

    y=a/b

    a can be any equation eg. ax2+bx+c or even simply x+b.. it can be anything
    b can also be any equation... but its the thing that replaces b (the equation at b) that it important...

    Now, to get the asymptote, simply grab the equation at b, e.g the denominator of the function (b) was x-1.
    So we take that equation and simply add '= 0' to it...

    x-1 = 0


    .... TADAAAA.. Now simply solve for x and BOOM you got your asymptote!!!

    One more example..
    y = x2+2x-3/x2-5x-6


    In this case, our 'b' is x2-5x-6... so we grab it and put an '= 0' at the end..



    x2-5x-6 = 0..
    So now,
    (x-6)(x+1) = 0
    And thus,
    x=6 or x=-1

    BOOM you got your asymptotes

    Well folks, thats about it! Comment if you got any questions!


    Peace out!
    Hmmmm....

    Does f(x) = \frac{x^2 - 4x + 3}{x - 3} have a vertical asymptote at x = 3?

    -Dan
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