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

Jun 30, 2017

See explanation.

#### Explanation:

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

Here we have $D = \left\{- 3 , 1 , 2\right\}$

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

Here it is:

$R = \left\{0 , 1 , 5\right\}$

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 $\left(1 , 0\right)$ 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).