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

Question

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