Determine which of the rational functions given below has the following feature(s).
-The horizontal asymptote is $\mathrm { y } = 4$
A) $f ( x ) = \frac { 4 x ^ { 2 } - 1 } { x + 9 }$

B) $f ( x ) = \frac { 4 } { x - 4 }$

C) $f ( x ) = \frac { x + 4 } { x + 9 }$

D) $f ( x ) = \frac { 4 x - 1 } { x + 9 }$

Question

Determine which of the rational functions given below has the following feature(s).
-The horizontal asymptote is $\mathrm { y } = 4$
A) $f ( x ) = \frac { 4 x ^ { 2 } - 1 } { x + 9 }$

B) $f ( x ) = \frac { 4 } { x - 4 }$

C) $f ( x ) = \frac { x + 4 } { x + 9 }$

D) $f ( x ) = \frac { 4 x - 1 } { x + 9 }$

Quizplus · Accepted Answer

The horizontal asymptote of a rational function is determined by the degrees of the numerator and denominator. For option D, both the numerator and denominator are of degree 1, and the horizontal asymptote is the ratio of the leading coefficients, which is 4.

Determine Which of the Rational Functions Given Below Has the Following