#### Answer

$\text{
a function
}\\\text{Domain: } \{
3,4,5,7
\}\\\text{Range: }\{
1,2,6,9
\}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
To determine if the given relation, $\{
(5,1),(3,2),(4,9),(7,6)
\}$ is a function, check if the first compnents are all unique.
The domain is the set of all first components, while the range is the set of all second components.
$\bf{\text{Solution Details:}}$
The first components in the given set of ordered pairs are all unique. Hence, the given set is a function.
The domain is the set of all first components, while the range is the set of all second components. Hence, the given set of ordered pairs has the following characteristics:
\begin{array}{l}\require{cancel}
\text{
a function
}\\\text{Domain: } \{
3,4,5,7
\}\\\text{Range: }\{
1,2,6,9
\}
.\end{array}