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.
-$f ( x ) = \frac { 10 x ^ { 3 } - 17 x ^ { 2 } + 3 x - 1 } { 4 x ^ { 2 } - 1 }$
A) $\text { Oblique asymptote: } y = \frac { 5 } { 2 } x - \frac { 17 } { 4 }$
B) $\text { Horizontal asymptote: } y = \frac { 5 } { 2 }$
C)Neither

Question

Quizplus · Accepted Answer

The graph of the given rational function has an oblique asymptote because the degree of the numerator is one more than the degree of the denominator. The equation of the oblique asymptote can be found by dividing the numerator by the denominator using polynomial long division or synthetic division.

Determine Whether the Graph of the Rational Function Has a Horizontal