This is not a relation. The element (2, 5, 17) is not an ordered pair. Looks like 5 is trying to insert himself where he doesn't belong, yet again.
Example 3
Is {(1, 1)} a relation?
Answer
This is a relation. It contains only one ordered pair, but it's still a relation. A lonely relation, perhaps, but a relation nevertheless.
Example 4
Find the domain and range for the following relation. Remember that each element of a set need only be listed once.
{(1, 1), (2, 1), (3, 1)}
Answer
Domain is {1, 2, 3} and range is {1}.
Example 5
Find the domain and range for the following relation. Remember that each element of a set need only be listed once.
{(1, 3), (2, 4), (3, 5), (4, 6) , . . .}
Answer
Domain is {1, 2, 3, 4, . . .} and range is {3, 4, 5, 6, . . .}.
Example 6
Find the domain and range for the following relation. Remember that each element of a set need only be listed once.
{(a, b), (c, d), (e, c)}
Answer
Domain is {a, c, e}, and range is {b, d, c}.
Example 7
For the following relation, write an equation that describes the connection between x (the first number in an ordered pair) and y (the second number in an ordered pair).
For the following relation, write an equation that describes the connection between x (the first number in an ordered pair) and y (the second number in an ordered pair).