The problem asks us to find the domain and range of a relation given in a table and determine if the relation is a function. The table provides $x$ and $y$ values where $x$ represents the input and $y$ represents the output.

1. Problem Description

The problem asks us to find the domain and range of a relation given in a table and determine if the relation is a function. The table provides $x$ and $y$ values where $x$ represents the input and $y$ represents the output.

2. Solution Steps

The domain is the set of all $x$-values. From the table, the $x$-values are -4, -19, -3, 5, and

2

0. So, the domain is $\{-19, -4, -3, 5, 20\}$.

The range is the set of all $y$-values. From the table, the $y$-values are 19, 10, -14, 17, and -

1

6. So, the range is $\{-16, -14, 10, 17, 19\}$.

A relation is a function if each $x$-value has only one corresponding $y$-value. Looking at the table, we can see that each $x$-value (-4, -19, -3, 5, and 20) is associated with exactly one $y$-value (19, 10, -14, 17, and -16, respectively). Thus, the relation is a function.

3. Final Answer

Domain: $\{-19, -4, -3, 5, 20\}$

Range: $\{-16, -14, 10, 17, 19\}$

Is the relation a function?: Yes