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Chapter 2.2 Algebraic Functions. Definition of Functions.

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Presentation on theme: "Chapter 2.2 Algebraic Functions. Definition of Functions."— Presentation transcript:

1 Chapter 2.2 Algebraic Functions

2 Definition of Functions

3

4 Example 2.2.1

5

6

7

8 Notations

9

10 Vertical Line Test

11 Example 2.2.2

12

13

14 Algebraic Functions

15 Transcendental Functions

16 Polynomial Functions

17 Constant Functions

18 Example 2.2.3

19 Linear Functions

20 Example 2.2.4 x0-4/3 y40

21 Quadratic Functions

22

23 Example 2.2.5

24 x13 y55

25 Quadratic Functions

26 Example 2.2.6

27 x-3 y00

28 Maximum/Minimum Value

29

30 Example 2.2.7

31 Cubic Functions

32 x01 y 01 Example 2.2.8

33 x123 y432 Example 2.2.9

34 Rational Functions

35

36 Example 2.2.10

37

38 Asymptotes

39 Example 2.2.11

40 Asymptotes

41

42 Example 2.2.12

43 Example 2.2.13

44 x34 y42.5 X1 y-20

45

46 x02 y 0

47

48 x01 y10.5 x-2-3 y-0.5

49

50 Square Root Functions

51

52 Example 2.2.14

53 Example 2.2.15 x34 y23

54 Example 2.2.16

55 Example 2.2.17 x-303 y0 0

56 Challenge!

57 Conditional Functions

58 Example 2.2.18

59 Example 2.2.19

60 x0-2/3 y20

61

62

63 Absolute Value Functions

64

65

66 Example 2.2.20 x04 y33

67 x03 y-50


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