Question

Identify the asymptotes of y=1 over x -6


A.
B.
C.
D.

Answer 1

D. x = 0; y = -6

Explanation:

There is a vertical asymptote at the value of x that makes the denominator zero. That value is x=0. This is sufficient to choose the correct answer.

When x gets large, the term 1/x nears zero, so the value of y nears -6. This is the horizontal asymptote.

vertical asymptote: x = 0; horizontal asymptote: y = -6