Determine whether the graph of the rational function has a horizontal asymptote, an oblique asymptote, or neither. Give
the equation of the asymptote if it exists.
-$f ( x ) = \frac { 5 x ^ { 2 } - 6 x - 5 } { 6 x ^ { 2 } - 7 x + 4 }$
A) $\text { Oblique asymptote: } y = \frac { 5 } { 6 } x + \frac { 5 } { 4 }$
B) $y = \frac { 5 } { 6 }$
C)Neither

Question

Quizplus · Accepted Answer

The graph of the rational function $f(x) = \frac{5x^2 - 6x - 5}{6x^2 - 7x + 4}$ has a horizontal asymptote because the degrees of the numerator and denominator are the same. The equation of the horizontal asymptote is $y = \frac{5}{6}$, which is obtained by dividing the leading coefficients of the numerator and the denominator.

Determine Whether the Graph of the Rational Function Has a Horizontal