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

1 Answer
Mar 9, 2016

Answer:

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]}