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 single horizontal asymptote at y = -2 because as x approaches infinity or negative infinity, the exponential function approaches zero, causing the y-values to approach -2. There is only one vertical asymptote at x = 0 because the exponential function is defined for all real numbers. Therefore, choice D is the best answer.

Find the Horizontal and Vertical Asymptotes of the Graph