Find the vertical and horizontal asymptote(s) for each of the following rational functions, if any, x + 3 1. 2. 3. 4. 5. d. As x - f(x) = f(x) = f(x) = f(x) = 2x - 3 6x + 1 6. Use the graph off(x) to analyze each of the following: (Use proper notation!) V0 - x+x-6 x-4 x - 3 x - 7x+12 f(x) = x-2 4x 2x - 1 H=-2 e. As x o, the graph of f(x) f. As x o, the graph of f(x) = a. Domain? b. Equation of the vertical asymptote? c. As x 2 from the left, the graph of f(x) Y -54 - 2 from the right, the graph of f(x) - 8 from the from the 7. Explain what a vertical asymptote represents with respect to the graph of a rational function. 8. Explain what a horizontal asymptote represents with respect to the graph of a rational function. 9. Explain the reason why the graph of a rational function may have a hole.