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Math Help - [SOLVED] non-vertical asymptote

  1. #1
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    [SOLVED] non-vertical asymptote

    Problem:

    1. Find the equation of the non-vertical asymptote.
    y =

    2. Does intersect its non-vertical asymptote? (yes or no)



    on 1, I do not know how to find the equation.
    I keep geeting the horizontal which is (+and-)(3/58)

    & on 2 I know it is no.

    so help with #1 please
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  2. #2
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    Quote Originally Posted by lsnyder View Post
    Problem:

    1. Find the equation of the non-vertical asymptote.
    y =

    2. Does intersect its non-vertical asymptote? (yes or no) Yes



    on 1, I do not know how to find the equation.
    I keep geeting the horizontal which is (+and-)(3/58)

    & on 2 I know it is no. No!

    so help with #1 please
    Do long division:

    \dfrac{-5x^3+8x^2-7x-2}{3x^2+5x+5}=\underbrace{-\frac53x+\frac{49}9}_{\text{term of skewed asymptote}}+\dfrac{-(233x+263)}{3x^2+5x+5}
    Attached Thumbnails Attached Thumbnails [SOLVED] non-vertical asymptote-graph_undasympt.png  
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  3. #3
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    Quote Originally Posted by earboth View Post
    Do long division:

    \dfrac{-5x^3+8x^2-7x-2}{3x^2+5x+5}=\underbrace{-\frac53x+\frac{49}9}_{\text{term of skewed asymptote}}+\dfrac{-(233x+263)}{3x^2+5x+5}

    wow, i messed up typing it here.
    I put yes also
    I just accidental put no.

    Thanks for the help!
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