Answer
The relation does not represent a function.
Work Step by Step
RECALL:
(1)
A function is a relation if every element of the domain (first coordinate) is paired with exactly one element of the range (second coordinate).
(2)
The domain of a function is the set that contains all of the first coordinates.
The range of a function is the set that contains all of the second coordinates.
Note that the first coordinate $4$ is paired with two different second coordinates ($-1$ and $2$).
Thus, the given relation is NOT a function.