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3U Geo Question Help (1 Viewer)

nrumble42

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How do you find the horizontal asymptote of y= x/x+2
Thanks :smile:
 

123ryoma12

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As x approaches infinite, y approaches 1
As x approaches negative infinite y approaches -1
So y = 1 and y = -1 are the horizontal asymptote.
 

pikachu975

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As x approaches infinite, y approaches 1
As x approaches negative infinite y approaches -1
So y = 1 and y = -1 are the horizontal asymptote.
It doesn't approach -1, it only approaches y = 1.

y = x/x+2
Divide all terms by x,

y = 1/1+(2/x)

Sub in negative infinity:

y = 1

So it's just at y = 1
 

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