N nrumble42 Member Joined Oct 3, 2016 Messages 64 Gender Female HSC 2017 Oct 4, 2016 #1 How do you find the horizontal asymptote of y= x/x+2 Thanks
123ryoma12 Member Joined Apr 14, 2015 Messages 60 Gender Male HSC 2016 Oct 4, 2016 #2 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.
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 Premium Member Joined May 31, 2015 Messages 2,739 Location NSW Gender Male HSC 2017 Oct 4, 2016 #3 123ryoma12 said: 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. Click to expand... 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
123ryoma12 said: 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. Click to expand... 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