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kaylalynn

  • 2 years ago

What is the vertical asymptote for the function f(x) = x/ x-1?

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  1. RaphaelFilgueiras
    • 2 years ago
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    domain ]-inf,1[U]1,+inf [

  2. RaphaelFilgueiras
    • 2 years ago
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    |dw:1389059727821:dw|

  3. RaphaelFilgueiras
    • 2 years ago
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    to find asymptotes you mus take the limit were the domain "breaks" and in its extremes

  4. kaylalynn
    • 2 years ago
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    ?

  5. RaphaelFilgueiras
    • 2 years ago
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    |dw:1389059855511:dw|

  6. RaphaelFilgueiras
    • 2 years ago
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    when x aproach from 1+(right) the function tends to infinity

  7. kaylalynn
    • 2 years ago
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    so there is a vertical asymptote at x=1?

  8. RaphaelFilgueiras
    • 2 years ago
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    yep

  9. kaylalynn
    • 2 years ago
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    is there a horizontal asymptote?

  10. RaphaelFilgueiras
    • 2 years ago
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    yes take the limit when x goes to infinity(extreme of your domain)

  11. RaphaelFilgueiras
    • 2 years ago
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    what did you get?

  12. kaylalynn
    • 2 years ago
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    as y approaches 1?

  13. RaphaelFilgueiras
    • 2 years ago
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    no to zero|dw:1389060282398:dw|

  14. RaphaelFilgueiras
    • 2 years ago
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    y= 0 is the horizontal one

  15. kaylalynn
    • 2 years ago
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    thanks

  16. RaphaelFilgueiras
    • 2 years ago
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    you are welcome

  17. RaphaelFilgueiras
    • 2 years ago
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    |dw:1389060457972:dw| it should be something like this

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