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Finding Horizontal & Vertical Asymptotes Of A Curve

  1. Sep 16, 2012 #1
    1. The problem statement, all variables and given/known data
    2ccpegg.jpg


    2. Relevant equations
    None


    3. The attempt at a solution
    I was able to find a vertical asymptote at x=-3/8 by setting the denominator to 0 and using the quadratic formula to find the roots. However, I am unsure of how to find the horizontal asymptotes, and I am not 100% confident that my vertical asymptote is correct. The confusion that I have here is with the square root in the denominator.
     
  2. jcsd
  3. Sep 16, 2012 #2

    SammyS

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    Recheck that result you get from "setting the denominator to 0 and using the quadratic formula to find the roots".

    For the horizontal asymptote(s), find the limit of your function as x → ± ∞ .
     
  4. Sep 16, 2012 #3
    Thank you Sammy. After watching some videos regarding this topic and your assistance, I found out that the horizontal asymptotes are y=-1/2, 1/2 and there are no vertical asymptotes. Thank you again.
     
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