1. Lesson 2.6 Read: Pages 146-150 Page 152: #1-37 (EOO), 47, 49, 51

2. Rational Functions and Asymptotes Objective Students will find the domains of rational functions, and find horizontal and vertical asymptotes of graphs of rational functions.

3. sketch the graph of f(x) = 1/x xf(x) -4-0.25 -2-0.5 -0.1-10 -0.01-100 0.01100 0.110 11 20.5 40.25

4. Cool Breeze of Analysis Domain: (-∞,0) U (0,∞) Range: (-∞,0) U (0,∞) No Intercepts Decreasing on (-∞,0) and (0,∞) Odd Function Origin Symmetry Vertical Asymptote: y-axis Horizontal Asymptote: x-axis

5. Vertical and Horizontal Asymptotes

7. Find all horizontal and vertical asymptotes of the graph of each rational function. State the domain using Interval Notation and decide if the function is continuous.

8. Find the zeros of the rational function.

9. Find the domain of the function, the vertical and horizontal asymptotes, and any holes in the graph. State the domain using Interval Notation and decide if the function is continuous. Find all intercepts.