Find the horizontal and vertical asymptotes of the graph.
A)Horizontal asymptote: y = -2 ; vertical asymptote x = 0
B)Vertical asymptote: x = 0 .
C)Horizontal asymptotes: y = -2 and y = -3
D)Horizontal asymptote: y = -2

Question

Find the horizontal and vertical asymptotes of the graph. 
A)Horizontal asymptote: y = -2 ; vertical asymptote x = 0 
B)Vertical asymptote: x = 0 . 
C)Horizontal asymptotes: y = -2 and y = -3 
D)Horizontal asymptote: y = -2

Quizplus · Accepted Answer

The graph has a horizontal asymptote at y = -2 because as x approaches positive or negative infinity, the function approaches -2. There is no vertical asymptote at x = 0 as the graph smoothly crosses the y-axis. Therefore, option D is the best choice.

Find the Horizontal and Vertical Asymptotes of the Graph