kaylalynn
What is the vertical asymptote for the function f(x) = x/ x1?



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RaphaelFilgueiras
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domain ]inf,1[U]1,+inf [

RaphaelFilgueiras
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dw:1389059727821:dw

RaphaelFilgueiras
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to find asymptotes you mus take the limit were the domain "breaks" and in its extremes

kaylalynn
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?

RaphaelFilgueiras
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dw:1389059855511:dw

RaphaelFilgueiras
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when x aproach from 1+(right) the function tends to infinity

kaylalynn
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so there is a vertical asymptote at x=1?


kaylalynn
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is there a horizontal asymptote?

RaphaelFilgueiras
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yes take the limit when x goes to infinity(extreme of your domain)

RaphaelFilgueiras
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what did you get?

kaylalynn
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as y approaches 1?

RaphaelFilgueiras
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no to zerodw:1389060282398:dw

RaphaelFilgueiras
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y= 0 is the horizontal one

kaylalynn
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thanks

RaphaelFilgueiras
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you are welcome

RaphaelFilgueiras
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dw:1389060457972:dw
it should be something like this