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edwardalexander17

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?

  • one year ago
  • one year ago

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  1. jaersyn
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    you don't need to factor the bottom to get the zeros?

    • one year ago
  2. edwardalexander17
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    oh. how do i do it? please help

    • one year ago
  3. jaersyn
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    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

    • one year ago
  4. Dyiliq
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    nay http://upload.wikimedia.org/wikipedia/commons/f/f7/SlantAsymptoteError.svg

    • one year ago
  5. Dyiliq
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    that should help...

    • one year ago
  6. jaersyn
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    |dw:1334619604419:dw|

    • one year ago
  7. edwardalexander17
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    thanks a lot. :)

    • one year ago
  8. jaersyn
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    anything over infinity means it's going to 0 so HA: Y = 1

    • one year ago
  9. jaersyn
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    same deal with negative for this problem I think

    • one year ago
  10. jaersyn
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    negative infinity*

    • one year ago
  11. edwardalexander17
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    oh okay. thanks

    • one year ago
  12. jaersyn
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    I mean HA: Y = 0, sorry

    • one year ago
  13. edwardalexander17
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    no problem thanks.

    • one year ago
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