Find vertical and horizontal asymptotes.
$f ( x ) = \frac { 1 } { x - 7 }$
A)Vertical asymptote: x = 0Horizontal asymptote: y = 7
B)Vertical asymptote: x = -7Horizontal asymptote: y = 1
C)Vertical asymptote: x = -7Horizontal asymptote: y = 0
D)Vertical asymptote: x = 0Horizontal asymptote: y = -7
E)Vertical asymptote: x = 7Horizontal asymptote: y = 0

Question

Find vertical and horizontal asymptotes. 
 $f ( x ) = \frac { 1 } { x - 7 }$  
A)Vertical asymptote: x = 0Horizontal asymptote: y = 7
B)Vertical asymptote: x = -7Horizontal asymptote: y = 1
C)Vertical asymptote: x = -7Horizontal asymptote: y = 0
D)Vertical asymptote: x = 0Horizontal asymptote: y = -7
E)Vertical asymptote: x = 7Horizontal asymptote: y = 0

Quizplus · Accepted Answer

The vertical asymptote occurs where the denominator equals zero, which is at x = 7. The horizontal asymptote is determined by the degrees of the polynomial in the numerator and the denominator. Since the degree of the numerator (0, since it's a constant) is less than the degree of the denominator (1), the horizontal asymptote is y = 0.

Find Vertical and Horizontal Asymptotes f(x)=1x−7f ( x ) = \frac { 1 } { x - 7 }f(x)=x−71​

Find Vertical and Horizontal Asymptotes $f ( x ) = \frac { 1 } { x - 7 }$