Determine the equations of any horizontal and vertical asymptotes of $f ( x ) = \frac { x ^ { 2 } + 10 x + 24 } { x ^ { 3 } + 6 x ^ { 2 } - x - 6 }$ .
A)horizontal: y = 1; vertical: x = -6
B)horizontal: y = 0; vertical: x = 1 and x = -6
C)horizontal: y = 0; vertical: x = -1 and x = 1
D)horizontal: none; vertical: none
E)horizontal: y = 0; vertical: x = -6 and x = -4

Question

Quizplus · Accepted Answer

Horizontal asymptote: y = 0 (degree of numerator < degree of denominator)Vertical asymptotes: x = -1 and x = 1 (denominator = 0)

Determine the Equations of Any Horizontal and Vertical Asymptotes Of f