Directions: Determine if the following rational functions have a horizontal asymptote, slant asymptote, or...

Directions: Determine if the following rational functions have a horizontal asymptote, slant asymptote, or neither.
1. f(x) = \frac{2x^2 - 3x + 1}{x^2 + 1}
2. g(x) = \frac{x^2 + x - 5}{3x^2 - 2x + 1}
3. h(x) = \frac{x^3 + 4x^2 + 5x - 6}{3x^2 - 7}
4. k(x) = \frac{-2x^4 + 3x^3 + 8}{x^2 - 6x - 11}
5. r(x) = \frac{(2x + 1)(3x - 4)}{(x + 3)(x - 1)}
6. y = \frac{(x - 1)^3 (2x + 3)^2}{(x - 2)^2 (x + 4)^5}
7. y = \frac{(x - 1)^4}{-3x(x - 8)^2}
8. y = \frac{(x^2 + 1)^2}{5x^2 (x + 2)}
9. y = \frac{6}{x + 3}
Directions: For each of the following rational functions, identify and label any values of x where the function has holes, vertical asymptotes or zeros.
10. f(x) = \frac{3x(x - 6)(x + 4)}{(x - 1)(x + 4)}
11. g(x) = \frac{(x - 3)(x + 2)}{(x - 3)^2 (x - 8)}
12. h(x) = \frac{(x - 7)^2 (x + 1)}{2x(x - 7)}
13. k(x) = \frac{x^2 - 4x - 12}{x^2 - 12x + 36}
14. r(x) = \frac{x^2 - 9}{x^2 + x^2 - 6x}
15. y = \frac{(x + 3)^5 (x - 5)^3}{(x + 3)^3 (x - 5)^5}