Yes, the graph could represent a function. It passes the vertical line test, which means that every vertical line intersects the graph at most once.
To understand why the vertical line test is important, consider the following:
Points are (-3, -1) (-1,-3)(0,4)(1, -1)(3,2)
If a graph intersects a vertical line more than once, then there are two or more different y-values for the same x-value. This would violate the definition of a function, which states that each x-value can have only one corresponding y-value.
In the graph of the given points, we can see that every vertical line intersects the graph at most once. This means that the graph could represent a function.