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The Rectangular Coordinate System
A
B
C
D
E
F
. . . .

Relations

In a relation, the domain is the set of all the first coordinates. The range, on the other hand, is the set of all the second coordinates.

The domain of the relation A={(−1, −5),  (0, −3),  (1, −1),  (2, 1)} is the set {−1,  0,  1,  2}. The range of A is the set {−5,  −3,  −1,  1}.

Example

Name the domain and range of each relation.

1. {(8, −2),  (0,  0),  (8,  2)}
2. {(1, −1),  (1,  1),  (4, −2), 
(4,  2),  (9,  −3),  (9,  3),
(16, −4),  (16,  4)}
3. {(1,  1),  (2,  0),  (3,  1),  (4,  0),
(5,  1),  (6,  0),  (7,  1),  (8,  0)}


Solution
1. domain = {0,  8}
range = {−2,  0,  2}
2. domain = {1,  4,  9,  16}
range = {−4, −3, −2, −1,  1,  2,  3,  4}
3. domain = {1,  2,  3,  4,  5,  6,  7,  8}
range = {0,  1}