Determine which of the rational functions given below has the following feature(s).
-The x-axis is its horizontal asymptote
A) $f ( x ) = \frac { 5 x - 1 } { x + 9 }$

B) $f ( x ) = \frac { 9 } { x - 5 }$

C) $f ( x ) = \frac { x - 5 } { x }$

D) $f ( x ) = \frac { x + 5 } { x + 9 }$

Question

Determine which of the rational functions given below has the following feature(s).
-The x-axis is its horizontal asymptote 
A) $f ( x ) = \frac { 5 x - 1 } { x + 9 }$

B) $f ( x ) = \frac { 9 } { x - 5 }$

C) $f ( x ) = \frac { x - 5 } { x }$

D) $f ( x ) = \frac { x + 5 } { x + 9 }$

Quizplus · Accepted Answer

The horizontal asymptote is the x-axis (y=0) when the degree of the numerator is less than the degree of the denominator. In option B, the numerator is a constant (degree 0) and the denominator is linear (degree 1).

Determine Which of the Rational Functions Given Below Has the Following