1. Warm-Up: November 20, 2015  Find all zeros of

2. Homework Questions?

3. Quiz: 2.1-2.4 – November 20, 2015  Clear everything off of your desk except pencils, erasers, and your graphing calculator.  Make sure your cell phone is powered off and in your backpack (not pocket).  40 minute time limit  If you appear to be talking, looking at anyone else’s quiz, allowing another student to look at your quiz, or using any unauthorized aide, you will receive a zero.  If your cell phone is seen or heard, it goes to the office and you will receive a zero.  If you finish early, turn in your quiz to Mr. Szwast and work on the assignment due Monday.

4. Warm-Up: November 30, 2015  Find all zeros of

5. Homework Questions?

6. Rational Functions and Their Graphs Section 2.6

7. Objectives 1. Find the domain of rational functions 2. Use arrow notation 3. Identify vertical asymptotes 4. Identify horizontal asymptotes 5. Graph rational functions 6. Identify slant asymptotes 7. Solve applied problems involving rational functions

8. Rational Functions  Rational Functions are quotients of polynomial functions  The domain of a rational function is all real numbers except those that cause the denominator to equal 0

9. Example 1 (like HW #1-8)  Find the domain of

10. You-Try #1 (like HW #1-8)  Find the domain of

11. Arrow Notation Example

12. Vertical Asymptotes

13. Example 2 (like HW #21-28)  Find the vertical asymptotes, if any, of

14. You-Try #2 (like HW #21-28)  Find the vertical asymptotes, if any, of

16. Warm-Up:  Identify any vertical asymptotes of

17.  Continuing 2.6 notes

18. Holes

19. Example of a Hole

20. Horizontal Asymptotes

21. Identifying Horizontal Asymptotes

22. Example 3 (like HW #29-33)  Find the horizontal asymptote, if any, of each function

23. You-Try #3 (like HW #29-33)  Find the horizontal asymptote, if any, of each function

24. Assignment  Read Section 2.6  Page 321 #1-8 ALL, 15-35 odd

26. Warm-Up: December 1, 2015  Identify any asymptotes (vertical and horizontal) and holes of

27. Announcement  Mr. Szwast has a meeting today after school with the math department.  If you need to take the 2.1-2.4 quiz, you should do so Wednesday after school in room 410.

28. Homework Questions

29. Graphing Rational Functions

30. Example 4 (like HW #37-58)  Graph

31. You-Try #4 (like HW #37-58)  Graph

32. You-Try #5 (like HW #37-58)  Graph

33. You-Try #6 (like HW #37-58)  Graph

34. Assignment  Read Section 2.6  Page 321 #37-53 odd  All graphs must be on graph paper, at least one square per unit.

35. Warm-Up:  Determine any and all asymptotes and holes of:

36. Homework Questions?

37. Warm-Up: December 2/3, 2015  Determine any and all asymptotes and holes of:

38. Homework Questions?

39. Slant Asymptotes

40. Example 7 (like HW #59-66)  Find the slant asymptote and graph

41. You-Try #7 (like HW #59-66)  Find the slant asymptote and graph

42. Applications of Rational Functions  The average cost of producing an item  Chemical concentrations over time  Used in numerous science and engineering fields to approximate or model complex equations

43. You-Try #8 (page 322 #70)

45. Assignment  Read Section 2.6  Page 322 #55-67 odd  All graphs must be on graph paper, at least one square per unit.  You have 20 minutes to work on this assignment, then we will start 2.7.