Download presentation
Presentation is loading. Please wait.
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
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.