Answer
$\text{
NOT a function
}\\\text{Domain: } \{
1,2,3,5
\}\\\text{Range: }\{
10,15,19,27
\}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To determine if the given diagram is a function, check if the first components are all used only once.
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 component, $2,$ is used more than once in the given diagram. Hence, the given set is NOT a function.
The domain is the set of all first components, while the range is the set of all second components. Hence, the given diagram has the following characteristics:
\begin{array}{l}\require{cancel}
\text{
NOT a function
}\\\text{Domain: } \{
1,2,3,5
\}\\\text{Range: }\{
10,15,19,27
\}
.\end{array}