#### Answer

$\text{
NOT a function
}\\\text{Domain: } \{
0,1,2
\}\\\text{Range: }\{
-4,-1,0,1,4
\}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
To determine if the given relation, $\{
(1,1),(1,-1),(0,0),(2,4),(2,-4)
\}$ 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, $
1 \text{ and } 2
,$ are 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: } \{
0,1,2
\}\\\text{Range: }\{
-4,-1,0,1,4
\}
.\end{array}