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Describing behavior on each side of a vertical asymptote

  1. Jan 2, 2006 #1
    Find the vertical asymptotes of the graph of F(x) = (3 - x) / (x^2 - 16)

    ok if i factor the denominator.. i find the vertical asymptotes to be x = 4, x = -4.

    The 2nd part of the problem asks:
    Describe the behavior of f(x) to the left and right of each vertical asymptote.. I'm not sure what i need to write for this.
     
  2. jcsd
  3. Jan 2, 2006 #2
    It's asking for what happens as the function appraches the asymptotes from the left and the right, does it go to infinity - what?

    You can use limits to find out.
     
  4. Jan 2, 2006 #3
    ahh thanks.. so...

    f(x) approaches +inf as it approaches x = -4 from the left...
    f(x) approaches -inf as it approaches x = -4 from the right...
    f(x) approaches +inf as it approaches x = 4 from the left...
    f(x) approaches -inf as it approaches x = 4 from the right...

    correct?
     
  5. Jan 2, 2006 #4
    Correct. :smile:
     
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