For this case we have the following table: x y -1 3 1 -1 2 2 1 3 We observe that the graph shown in the question shows a scattering of points that do not obey any behavior of known function. Therefore, the table does not represent any function. Answer: The table does not represent a function.
The graph of the relation between x and y is as shown in attached figure
By applying the vertical line test we find that the relation is not a function because there are two points which are (1,-1) , (1,3) have the same value of x with different values of y which contradicts with with the rule of function.