1. Rational Functions and Asymptotes
PreCalculus 2-6

2. Rational Functions

3. Domain – The domain of a rational function consists of all real numbers, except those for which the denominator is zero
Rational Functions

4. Rational Functions

5. Rational Functions

6. Rational Functions

7. Notation
Rational Functions

8. Rational Functions

9. Rational Functions

10. Rational Functions

11. Rational Functions

12. Rational Functions

13. Rational Functions

14. Rational Functions

15. Rational Functions

16. Rational Functions Graph the function
Vertical asymptotes are x=1 and x=4
Horizontal asymptote at 3
Rational Functions

17. Rational Functions

18. Find the vertical and horizontal asymptotes of the function
Vertical asymptotes are x=1/3 and x=2/3
Horizontal asymptote at y=1/9
Rational Functions

19. Rational Functions

20. Rational Functions

21. Page 148 – 151
7-12, 15, 18, 20, 25, 32, 33, 39
Homework