Chapter 2.1, Problem 22AYU

In Problems 19-30, state the domain and range for each relation. Then determine whether each relation represents a function.

$\{\left(0,-2\right),\left(1,3\right),\left(2,3\right),\left(3,7\right)\}$

To determine

To find: The domain and range for the given relation and to determine the relation is a function.

Answer to Problem 22AYU

Domain of the relation $=\left\{ 0,1, 2, 3\right\}$.

Range of the relation $=\left\{ -2,3,7\right\}$.

Relation is a function.

Explanation of Solution

Given:

The following relation

$\left\{ \left( 0,-2 \right),\left( 1,3 \right),\left( 2,3 \right),\left( 3,7 \right)\right\}$

Domain of the relation $=\left\{ 0,1, 2, 3\right\}$.

Range of the relation $=\left\{ -2,3,7\right\}$.

The relation is a function because there are no ordered pairs with the same first element and different second element.