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Mathematics 20 Online
OpenStudy (osanseviero):

asymptotes of this function:

OpenStudy (osanseviero):

\[\frac{ 2x-1 }{ x+2 }\]

OpenStudy (osanseviero):

Horizontal: x+2= 0, x=-2...how for the vertcial one?

OpenStudy (anonymous):

The vertical asymptote would be x=-2 (because adding -2 to 2 would give you a zero in the denominator), and the horizontal asymptote would be 2 (as calculated by dividing 2x/x)

OpenStudy (osanseviero):

oh...sorry, I did the vertical before...and what would the horizontal be?

OpenStudy (ranga):

Vertical asymptote is when y goes to infinity. Horizontal asymptote is when x goes to infinity. To find the horizontal asymptote, find the limit of (2x - 1) / (x + 2) as goes to infinity.

OpenStudy (osanseviero):

y=2 :)

OpenStudy (ranga):

yes.

OpenStudy (osanseviero):

So the range is (-inf,2)U(2,INF) ?

OpenStudy (ranga):

Yes the range is correct. Domain is (-inf, -2) U (-2, inf)

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