Question

Please answer both parts in the space below.

Part 1: State the domain and range of the given relation.

Part 2: Is the relation a function?

{(−1, 2), (1, 2), (3, 2), (6, 2)}

Answer 1

Part 1: Domain:
`\{-1,1,3,6\}` and Range :
`\{2,2,2,2\}`

Part 2: Yes, the given relation is a function.

Explanation:

Part 1: The relation is
`\{(-1,2),(1,2),(3,2),(6,2)\}`

The domain of a relation is the set of all x-coordinate in the ordered pair.

Thus, the domain of the relation
`\{(-1,2),(1,2),(3,2),(6,2)\}` is the set of all x-coordinates in the ordered pair.

Hence, Domain =
`\{-1,1,3,6\}`

To find the range, the range of a relation is the set of all y-coordinate in the ordered pair.

Thus, the range of the relation
`\{(-1,2),(1,2),(3,2),(6,2)\}` is the set of all y-coordinate in the ordered pair.

Hence, Range =
`\{2,2,2,2\}`

Part 2:

To find the relation
`\{(-1,2),(1,2),(3,2),(6,2)\}` is a function.

A relation can be defined as a function only if each element of the domain is paired with exactly one element of the range.

Thus, the relation
`\{(-1,2),(1,2),(3,2),(6,2)\}` is a function.