1. Rational functions are quotients of polynomial functions.
Objective: Find asymptotes of rational functions and behavior around asymptotes.
Rational functions are quotients of polynomial functions.

2. Example 1 Find the domain of each rational function. a. b. c.

3. Vertical Asymptotes: zeros of the denominator
Vertical Asymptotes: zeros of the denominator. (If there are no common factors for numerator and denominator)
Horizontal Asymptotes:
Leading terms
If n = m;
If m > n;
If m < n; no H.A.
Oblique Asymptotes:
when m < n; divide numerator by denominator.

4. Example 2 Find the vertical asymptotes. a. b. c.

5. Example 3 Find the horizontal asymptotes. a. b. c.

6. Example 4 Find the horizontal and vertical asymptotes. a. b.

7. Example 5 Describe the end behavior and the behavior around the vertical asymptote. a.

8. b.

9. Assignment: pg 354 #1-36