Question

How do you find the domain and range and determine whether the relation is a function given {(2,1), (-3,0), (1,5)}?

Answer 1

See explanation.

Explanation:

The domain is the set of 1st coordinates in the pairs' set.

Here we have `D={-3,1,2}`

The range is the set of 2nd coordinates in pairs.

Here it is:

`R={0,1,5}`

The condition of being a function is:

For each argument in the domain there must by only one value assigned to it.

Here this condition is met.

If we added for example a pair `(1,0)` then the new relation would not be a function because it would have 2 values `0` and `5` both assigned to the same argument (1).