Question

How do you find the asymptotes for `y= (x+1)^2 / ((x-1)(x-3))`?

Answer 1

Vertical Asymptotes: `x=1,3`
Horizontal asymptotes:`y=1`

Explanation:

To find the vertical asymptotes take the denominator and set it equal to 0 and solve for x.
To find the horizontal asymptote find the limit as x goes to infinity in both directions so we use the end behavior rule and take the highest degree term from the top which will be `x^2` and the highest degree term from the bottom which is also `x^2` and divide them. Hence y=1 is the horizontal asymptote.