#### Answer

$\text{
a function
}\\\text{Domain: } \{
-1,1,4
\}\\\text{Range: }\{
-3,0
\}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
To determine if the given points, $\{
(-1,-3),(1,-3),(4,0)
\}$ is a function, check if all the $x$-values are used only once.
The domain is the set of all $x$-values, while the range is the set of all $y$-values.
$\bf{\text{Solution Details:}}$
All the $x$-values are used only once in the given set of points. Hence, the given is a function.
The domain is the set of all $x$-values, while the range is the set of all $y$-values. Hence, the given set of points has the following characteristics:
\begin{array}{l}\require{cancel}
\text{
a function
}\\\text{Domain: } \{
-1,1,4
\}\\\text{Range: }\{
-3,0
\}
.\end{array}