The rational function has a horizontal asymptote of

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

The rational function

q(x)=\dfrac{5x^{2}+1}{kx^{2}-2}

has a horizontal asymptote of

y=-\dfrac{5}{2}

. For which value of

k

does this occur? (a)

2

(b)

-\dfrac52

(c)

-\dfrac{25}{2}

(d)

-2