Presentation is loading. Please wait.

Presentation is loading. Please wait.

1.6 - Relations.

Similar presentations


Presentation on theme: "1.6 - Relations."— Presentation transcript:

1 1.6 - Relations

2 Relation

3 Relation – a set of ordered pairs

4 Relation – a set of ordered pairs
(relationship btw. 2 numbers!)

5 Relation – a set of ordered pairs
(relationship btw. 2 numbers!) Ways to Represent Relations:

6 Relation – a set of ordered pairs
(relationship btw. 2 numbers!) Ways to Represent Relations: as a set

7 Relation – a set of ordered pairs
(relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table

8 Relation – a set of ordered pairs
(relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph

9 Relation – a set of ordered pairs
(relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph in a mapping

10 Relation – a set of ordered pairs
(relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph in a mapping Example 1 (a) Express the relation {(-1,2),(0,-3),(-3,2),(-2,-2)} as:

11 Relation – a set of ordered pairs
(relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph in a mapping Example 1 (a) Express the relation {(-1,2),(0,-3),(-3,2),(-2,-2)} as: 1. a table

12 Relation – a set of ordered pairs
(relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph in a mapping Example 1 (a) Express the relation {(-1,2),(0,-3),(-3,2),(-2,-2)} as: 1. a table x y

13 Relation – a set of ordered pairs
(relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph in a mapping Example 1 (a) Express the relation {(-1,2),(0,-3),(-3,2),(-2,-2)} as: 1. a table x y

14 -1 -3 -2 Relation – a set of ordered pairs
(relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph in a mapping Example 1 (a) Express the relation {(-1,2),(0,-3),(-3,2),(-2,-2)} as: 1. a table x y -1 -3 -2

15 -1 -3 -2 Relation – a set of ordered pairs
(relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph in a mapping Example 1 (a) Express the relation {(-1,2),(0,-3),(-3,2),(-2,-2)} as: 1. a table x y -1 -3 -2

16 -1 2 -3 -2 Relation – a set of ordered pairs
(relationship btw. 2 numbers!) Ways to Represent Relations: as a set in a table on a graph in a mapping Example 1 (a) Express the relation {(-1,2),(0,-3),(-3,2),(-2,-2)} as: 1. a table x y -1 2 -3 -2

17 2. a graph

18 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

19 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

20 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

21 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

22 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

23 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

24 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

25 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

26 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

27 2. a graph Graph the set of ordered pairs{(-1,2),(0,-3),(-3,2),(-2,-2)}

28 3. a mapping

29 3. a mapping X Y

30 3. a mapping X Y -3 -2 -1

31 3. a mapping X Y

32 3. a mapping {(-1,2),(0,-3),(-3,2),(-2,-2)} X Y

33 3. a mapping {(-1,2),(0,-3),(-3,2),(-2,-2)} X Y

34 3. a mapping {(-1,2),(0,-3),(-3,2),(-2,-2)} X Y

35 3. a mapping {(-1,2),(0,-3),(-3,2),(-2,-2)} X Y

36 3. a mapping {(-1,2),(0,-3),(-3,2),(-2,-2)} X Y

37 Inverse Relation

38 Inverse Relation - switch the x and y values in each ordered pair!

39 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. x y 2 -4 3 5 -7 6 -8

40 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. x y 2 -4 3 5 -7 6 -8

41 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. x y 2 -4 3 5 -7 6 -8

42 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4), x y 2 -4 3 5 -7 6 -8

43 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4), x y 2 -4 3 5 -7 6 -8

44 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4), x y 2 -4 3 5 -7 6 -8

45 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4), x y 2 -4 3 5 -7 6 -8

46 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7), x y 2 -4 3 5 -7 6 -8

47 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7), x y 2 -4 3 5 -7 6 -8

48 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)} x y 2 -4 3 5 -7 6 -8

49 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)} x y 2 -4 3 5 -7 6 -8

50 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)} Domain: x y 2 -4 3 5 -7 6 -8

51 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)} Domain: x y 2 -4 3 5 -7 6 -8

52 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)} Domain: {2, 3, 5, 6} x y 2 -4 3 5 -7 6 -8

53 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)} Domain: {2, 3, 5, 6} Range: x y 2 -4 3 5 -7 6 -8

54 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)} Domain: {2, 3, 5, 6} Range: x y 2 -4 3 5 -7 6 -8

55 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)} Domain: {2, 3, 5, 6} Range: {-8, -7, -4} x y 2 -4 3 5 -7 6 -8

56 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)} Domain: {2, 3, 5, 6} Range: {-8, -7, -4} x y 2 -4 3 5 -7 6 -8

57 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)} Domain: {2, 3, 5, 6} Range: {-8, -7, -4} x y 2 -4 3 5 -7 6 -8

58 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)} Domain: {2, 3, 5, 6} Range: {-8, -7, -4} x y 2 -4 3 5 -7 6 -8

59 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)} Domain: {2, 3, 5, 6} Range: {-8, -7, -4} Inverse: x y 2 -4 3 5 -7 6 -8

60 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)} Domain: {2, 3, 5, 6} Range: {-8, -7, -4} Inverse: {(-4,2) x y 2 -4 3 5 -7 6 -8

61 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)} Domain: {2, 3, 5, 6} Range: {-8, -7, -4} Inverse: {(-4,2),(-4,3) x y 2 -4 3 5 -7 6 -8

62 Inverse Relation - switch the x and y values in each ordered pair!
Example 2 Express the relation as a set of ordered pairs. State the domain and range, then write the inverse relation. {(2,-4),(3,-4),(5,-7),(6,-8)} Domain: {2, 3, 5, 6} Range: {-8, -7, -4} Inverse: {(-4,2),(-4,3),(-7,5)(-8,6)} x y 2 -4 3 5 -7 6 -8


Download ppt "1.6 - Relations."

Similar presentations


Ads by Google