1. P-3 Functions and their Graphs
In this section we will learn about:
Implicit and Explicit forms of equations
One-to-one and Onto functions
Domain and Range of a Composition of Functions
Even and Odd Functions

2. HW P-2

3. HW P-2

4. HW P-2

5. HW P-2

6. Today’s agenda
Library of Basic Functions packet (optional)
Questions about Summer Packet
Precalculus Review Circuit Training
Homework: due Friday

7. Homework Assignment P-3a (due Friday)
Read pp
Be able to do p. 27 # 2, 4, 7, 9, 11, 12, 15, 18, 2, 27, 33, 44, 45, 74.
Library of Basic Functions Poster due Monday.

8. P-3 Functions and their Graphs
In this section we will learn about:
Implicit and Explicit forms of equations
One-to-one and Onto functions
Domain and Range of a Composition of Functions
Even and Odd Functions

9. Homework Assignment P-3a
Read pp
Be able to do p. 27 # 2, 4, 7, 9, 11, 12, 15, 18, 2, 27, 33, 44, 45, 74.
Library of Basic Functions Poster due Monday.

10. p. 27 # 2, 4, 7, 9, 11, 12, 15, 18, 2, 27, 33, 44, 45, 74.

11. p. 27 # 2, 4, 7, 9, 11, 12, 15, 18, 2, 27, 33, 44, 45, 74.

12. p. 27 # 2, 4, 7, 9, 11, 12, 15, 18, 2, 27, 33, 44, 45, 74.

13. p. 27 # 2, 4, 7, 9, 11, 12, 15, 18, 2, 27, 33, 44, 45, 74.

14. p. 27 # 2, 4, 7, 9, 11, 12, 15, 18, 2, 27, 33, 44, 45, 74.

15. P-3 Functions and their Graphs
In this section we will learn about:
Implicit and Explicit forms of equations
One-to-one and Onto functions
Domain and Range of a Composition of Functions
Even and Odd Functions

16. One-to-one? Onto? Both? Neither?
Definition of a Function
Each input has only one output. If x1 = x2, then f(x1) = f(x2)
“Vertical Line test”
Definition of One-to-One
Each output has exactly one input
“Horizontal Line Test”
Definition of “Onto”
All possible y-values are used
Determine what characteristics are shown by the graphs on p.21 and 22

18. Domain and range of compositions of functions

20. input
output

21. input
output

22. Teamwork: p.28 #60, 61, 62,63 60 and 63 62 and 63 61 and 63 62 and 63

23. Homework Assignment P-3B
Read pp
Do p. 28 # 47-52, 54, 59, 61, 63, 69, 70, 73, 77, 83.
Library of Basic Functions Poster

24. p. 28 # 47-52, 54, 59, 61, 63, 69, 70, 73, 77, 83.

25. p. 28 # 47-52, 54, 59, 61, 63, 69, 70, 73, 77, 83.

26. p. 28 # 47-52, 54, 59, 61, 63, 69, 70, 73, 77, 83.

27. p. 28 # 47-52, 54, 59, 61, 63, 69, 70, 73, 77, 83.

28. Functions and transformations
Entrance Slip

29. Write two equations for the transformed graph:1

30. Write an equation for the transformed graph:2

31. Write an equation for the transformed graph:3

32. Write an equation for the transformed graph:4

33. Write an equation for the transformed graph:5

34. Write an equation for the transformed graph:6

35. Write two equations for the transformed graph:7

36. Write an equation for the transformed graph:8

37. Write an equation for the transformed graph:9

38. Write an equation for the transformed graph:10

39. Write an equation for the transformed graph:11

40. Write an equation for the transformed graph:12

41. Write an equation for the transformed graph:13

42. Write an equation for the transformed graph:14

47. 19.Graph the piecewise function:

48. Write two equations for the transformed graph:1

49. Write an equation for the transformed graph:2

50. Write an equation for the transformed graph:3

51. Write an equation for the transformed graph:4

52. Write an equation for the transformed graph:5

53. Write an equation for the transformed graph:6

54. Write two equations for the transformed graph:7

55. Write an equation for the transformed graph:8

56. Write an equation for the transformed graph:9

57. Write an equation for the transformed graph:10

58. Write an equation for the transformed graph:11

59. Write an equation for the transformed graph:12

60. Write an equation for the transformed graph:13

61. Write an equation for the transformed graph:14

66. 19.Graph the piecewise function:

67. Assignment:
P-3C p.30 #87, 93a, 95-98
p.39 #5, 7, 8, 9