Question

9. Identify the domain of the set (6,1),(-1, -8), (3,5), (9,1)

and tell if the relation is a function.

Answer 1

Yes, this relation is a function.

Explanation:

Take the first element from each ordered pair to obtain the domain:

(6, -1, 3, 9). Since the inputs are all unique (no duplication), the relation is a function.

Answer 2

Explanation:

`(x,\ y)\\\\x\in\text{Domain}\\\\y\in\text{Range}\\\\(6,\ 1),\ (-1,\ -8),\ (3,\ 5),\ (9,\ 1)\\\\\text{Domain}=\{-1,\ 3,\ 6,\ 9\}\\\text{Range}=\{-8,\ 1,\ 5\}\\\\\text{This relation is a function because each x is assigned one value of y.}`