1. Belated Birthdays to: Chris Wermuth 4/24 Catarina Alves 4/25 Maddy Armstrong 4/27

2. Where the denominator does not = 0.

3. The graphs of rational functions are discontinuous and have asymptotes.

6. » BEFORE FINDING ANYTHING OR GRAPHING RATIONAL FUNCTIONS YOU MUST FACTOR EVERYTHING!!!

7. To find Vertical Asymptote(s) 1) Set reduced denominator = 0 2)Solve for x = #. 3)Your answer is written as a line. To find Vertical Asymptote(s) 1) Set reduced denominator = 0 2)Solve for x = #. 3)Your answer is written as a line.

8. To find Horizontal Asymptote (only one) 1) Look at original or reduced fraction. 2)“BOBO”Bigger on Bottom; HA is y = 0 3)“BOTN” Bigger on Top: NO HA. 4)“EATS DC” Same # on top & bottom: divide leading coefficients. y = that # To find Horizontal Asymptote (only one) 1) Look at original or reduced fraction. 2)“BOBO”Bigger on Bottom; HA is y = 0 3)“BOTN” Bigger on Top: NO HA. 4)“EATS DC” Same # on top & bottom: divide leading coefficients. y = that #

9. VA:HA:x = + 2 y = 2 EATS DC

10. VA:HA:x = -1, -1/2y = 0 BOBO

11. VA:HA: x = + 3none BOTN

12. To find x- intercept(s) 1) Set reduced numerator = 0 2) Solve for x. 3) Answer is written as a point. (#, 0) OR USE YOUR CALCULATOR (2 nd trace, ZERO or TABLE) To find x- intercept(s) 1) Set reduced numerator = 0 2) Solve for x. 3) Answer is written as a point. (#, 0) OR USE YOUR CALCULATOR (2 nd trace, ZERO or TABLE)

13. To find y- intercept 1) Substitute 0 in for all x’s in reduced form. 2)Solve for y. 3)Answer is a point. (0, #) OR USE YOUR CALCULATOR (2 nd graph, table, look at x = 0) To find y- intercept 1) Substitute 0 in for all x’s in reduced form. 2)Solve for y. 3)Answer is a point. (0, #) OR USE YOUR CALCULATOR (2 nd graph, table, look at x = 0)

14. x-int:y-int:(o, o)

15. x-int: :y-int: (-3, 0) (0, 3)

16. Graph Look at graph, be careful of the vertical and horizontal asymptotes. »

17. Domain: Range:

18. Graph: Domain: Range:

19. Graph: Domain: Range:

20. » HW: WS