1. 3-1 Relations A relation is a set of points.
{(2,3),(-2,1),(-4,-2),(2,-2)}
The domain is the set of x-values (or 1st values)
D = {-4,-2,2}: written from least to greatest without repeats.
The range is the set of y-values (or 2nd values)
R = {-2, 1, 3}: written from least to greatest without repeats.
(2,3)
(-2,1)
(-4,-2)
(2,-2)

2. Relations Table Graph Mapping Set of Ordered PairsX Y 2 -2 -4 3 1
(2,3)
(-2,1)
(-4,-2)
(2,-2)
Mapping X Y -4 -2 2 1 3
Set of Ordered Pairs
{(2,3), (-2,1), (-4,-2), (-2,-2)}

3. Express the relation {(4,3), (-2,-1), (-3,2), (2,-4), (0,-4)} as a table, a graph and a mapping. Then state the domain and range.
Table X Y
Mapping X Y
Domain:
Range:

4. Check Your Progress with Example 2A & 2B (p. 144)
Domain: {1,4,6,7}
Range: {7,28,42,49} 2B

5. Inverse Relations An inverse relation is when you swap the x and y.
The inverse of (3,5) is (5,3)
Given: {(2,3), (-2,2), (-4,-2), (2,-1)}
Inverse: {(3,2), (2,-2), (-2,-4), (-1,2)}

6. Express the relation shown in the mapping as a set of ordered pairs, then write the inverse of the relation.
Relation: {(5,1), (7,2), (4,-9), (0,2)} X Y 4 5 7 -9 2 1
Inverse: {(1,5), (2,7), (-9,4), (2,0)}

7. Homework #20
p (all), (even), (all), 37, 38