1. Pre-Calculus Rational Functions

2. Simple Rational Functions Appears in the following format: Has 2 asymptotes: – x=h (vertical) – y=k (horizontal) In order to graph: – Draw the lines for the asymptotes. – Select two points on each side of every asymptote, plug into your x/y chart and graph.

3. Simple Rational Function Practice Determine all of the asymptotes for each graph:

4. Simple Rational Function Practice Determine all of the asymptotes AND graph:

5. Need Mo Practice? Of course you do fool! In groups, complete #1-4 on pg. 32 of your workbook.

6. Complex Rational Functions Appears in the following format: In order to graph: – Draw the lines for the asymptotes. – Select two points on each side of every asymptote, plug into your x/y chart and graph. Asymptotes/Quirks: – Can have multiple vertical asymptotes. – Can have multiple horizontal asymptotes horizontal asymptotes. – Might have holes.

7. Complex Rational Functions Appears in the following format: Asymptotes/Quirks: – Can have multiple vertical asymptotes. How to Determine VA’s 1.Factor the numerator and denominator. 2.Determine what values would make the denominator equal to 0.

8. Vertical Asymptote Practice

9. Complex Rational Functions Appears in the following format: Asymptotes/Quirks: – Can have multiple horizontal asymptotes horizontal asymptotes. How to Determine HA’s 1.Look at the degrees of the numerator and the denominator. 2.Follow and memorize the guide on the next slide.

10. Horizontal Asymptote Guide

11. Horizontal Asymptote Practice

12. Complex Rational Functions Appears in the following format: Asymptotes/Quirks: – Might have holes. How to Find Holes 1.Factor the numerator and denominator. 2.If there is a common factor in the numerator and the denominator, set it equal to zero. Solve and the value you find is the x-coordinate of the location your hole occurs at.

13. Diggin’ Holes Practice

14. Putting it All Together Appears in the following format: In order to graph: – Draw the lines for the asymptotes. – Select two points on each side of every asymptote, plug into your x/y chart and graph. – Determine if there are holes and graph them accordingly.

15. Graphing Practice

18. Homework – Night #1 Complete Pg. 27-28 in your workbook #1-7. – Please find: Vertical Asymptotes Horizontal Asymptotes Holes

19. Homework – Night #2 – Period 4 Complete your assigned problem on Pg.28-30 #1#2#3#4#5#6 AJAndresBenGregArianBang BriChristianTonyAndrewLlorenPreston HunterHeatherSavannahColleenGabbiDom ShaneRyanJessieZachIanJuan TomConnorDustin

20. Homework – Night #2 – Period 7 Complete your assigned problem on Pg.28-30 #1#2#3#4#5#6 AlexisAspenAlexaDJDrakeZach C. FernandaJakeJ.ShawOliviaBobbyJessica Megan H.Megan C.MiguelDrewPrincessWahida SamZach Z.ConnorKaylaNickMike SarahAlyssa

21. CAROUSEL Pre-Calculus

22. Homework – Night #3 Select 5 problems to complete for each of the following pages: – Pg. #32-33 – Pg. #34-35