Question

How do you find all vertical asymptotes, horizontal asymptotes, and graph the function `r(x) = (-1) / (x-1)^2`?

Answer 1

Vertical asymptote is `x=1` and horizontal asymptote is `y=0`.

Explanation:

In the function `r(x)=(-1)/(x-1)^2`, only zero of the denominator is `1`.

Hence, there is only one vertical asymptote `x=1`.

Further, as `x->+-oo`, `r(x)->0`, we have a horizontal asymptote `y=0`

graph{(-1)/(x-1)^2 [-16.02, 16, -8.01, 8.03]}