Find the horizontal asymptote, if any, of the rational function.
-$$f ( x ) = \frac { x ^ { 2 } + 5 x - 7 } { x - 7 }$$
A) $y = 1$
B) $y = - 5$
C) $y = 0$
D) None

Question

Quizplus · Accepted Answer

To find the horizontal asymptote of a rational function, compare the degrees of the numerator and denominator. Here, the degree of the numerator (2) is greater than the degree of the denominator (1). When the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote, hence the correct answer is D, None.

Find the Horizontal Asymptote, If Any, of the Rational Function f(x)=x2+5x−7x−7f ( x ) = \frac { x ^ { 2 } + 5 x - 7 } { x - 7 }f(x)=x−7x2+5x−7​

Find the Horizontal Asymptote, If Any, of the Rational Function $f ( x ) = \frac { x ^ { 2 } + 5 x - 7 } { x - 7 }$