Find the horizontal and vertical asymptotes of the graph.
A)Horizontal asymptote is , vertical asymptote is
B)Horizontal asymptote is , vertical asymptote is
C)Horizontal asymptote is , vertical asymptote is
D)Horizontal asymptote is , vertical asymptote is
E)Horizontal asymptote is , vertical asymptote is

Question

Find the horizontal and vertical asymptotes of the graph. 
A)Horizontal asymptote is , vertical asymptote is 
B)Horizontal asymptote is , vertical asymptote is 
C)Horizontal asymptote is , vertical asymptote is 
D)Horizontal asymptote is , vertical asymptote is 
E)Horizontal asymptote is , vertical asymptote is

Quizplus · Accepted Answer

A horizontal asymptote occurs when the degree of the numerator is less than or equal to the degree of the denominator. In this case, both numerator and denominator have the same degree of 2, so the horizontal asymptote is y = (leading coefficient of the numerator) / (leading coefficient of the denominator), which is 11eb12b0_a9e7_3d88_b394_17c0b7f80a90_TB7866_11.

A vertical asymptote occurs when the denominator is equal to 0, but the numerator is not. Setting the denominator equal to 0, we get x = 11eb12b0_a9e7_3d89_b394_2ff05ae61258_TB7866_11. Therefore, the vertical asymptote is x = 11eb12b0_a9e7_3d89_b394_2ff05ae61258_TB7866_11.

Find the Horizontal and Vertical Asymptotes of the Graph