Directions: Determine if the following rational functions have a horizontal asymptote, a slant asymptote, or neither.
Directions: For each rational function below, use long division to find the equation of the slant asymptote.
$f(x) = \frac{2x^2 - 3x + 5}{5x^2 - 6}$
HORIZONTAL
SLANT
NEITHER
$r(x)=\frac{2x^2 + 4x + 7}{6 - 5x}$
$h(x) = \frac{x^3 - 2x + 5}{3x - 4}$
$k(x) = \frac{x^4 - 3x^2 + x - 9}{2x^3 - x + 7}$
$g(x) = \frac{x^2 - x - 1}{x^3 + x^2 - 2}$
$y = \frac{(x - 2)^2 (3x^2 + 2)}{x(x + 1)(x - 5)}$
$f(x) = \frac{x^2 - 6x + 7}{x - 1}$
$g(x) = \frac{2x^2 - x + 4}{x + 3}$
$h(x) = \frac{x^3 - 4x^2 + 3x - 1}{x^2 - 2x + 5}$
$k(x) = \frac{2x^3 - x^2 + 1}{x^2 + x + 1}$