Answer
$\text{
NOT a function
}\\\text{Domain: } \{
0,2
\}\\\text{Range: }\{
2,4,5
\}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To determine if the given relation, $\{
(2,4),(0,2),(2,5)
\}$ is a function, check if the first components 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 component, $
2
,$ is used more than once. 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 set of ordered pairs has the following characteristics:
\begin{array}{l}\require{cancel}
\text{
NOT a function
}\\\text{Domain: } \{
0,2
\}\\\text{Range: }\{
2,4,5
\}
.\end{array}
