I forgot how to look for the asymptote from an equation.. can someone please help me out?

example: y= x/(x+1) what's the asymptote in this case?
Thanks.

1 answer

A vertical asymptote is located where the denominator vanishes. In the cited example, the denominator has a zero at x=-1, where the vertical asymptote would be located.

The horizontal asymptote, if it exists, is obtained by dividing the leading coefficient of the numerator by that of the denominator. A leading coefficient is the coefficient of the highest term of a polynomial. In the example, both have a coefficient of 1, so the horizontal asymptote is at y=1.

Post if you need further clarifications.