anonymous
  • anonymous
find the vertical asymptotes and holes for the graph of each rational function. y=(x+5) / (x^2+9) and when i do these types of problems usually i factor it out to get the asymptotes but idk how to factor the bottom. please help?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
you don't need to factor the bottom to get the zeros?
anonymous
  • anonymous
oh. how do i do it? please help
anonymous
  • anonymous
Hole when numerator is zero Hole at x = 5 Vertical asymptote when denominator is zero x^2 + 9 = 0 <<< can never = 0, so no VA Horizontal asymptotes where the limit of x -> +infinity and -infinity I'll draw you the work for HA

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anonymous
  • anonymous
nay http://upload.wikimedia.org/wikipedia/commons/f/f7/SlantAsymptoteError.svg
anonymous
  • anonymous
that should help...
anonymous
  • anonymous
|dw:1334619604419:dw|
anonymous
  • anonymous
thanks a lot. :)
anonymous
  • anonymous
anything over infinity means it's going to 0 so HA: Y = 1
anonymous
  • anonymous
same deal with negative for this problem I think
anonymous
  • anonymous
negative infinity*
anonymous
  • anonymous
oh okay. thanks
anonymous
  • anonymous
I mean HA: Y = 0, sorry
anonymous
  • anonymous
no problem thanks.

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