The graph represents a relation because it is a set of ordered pairs. However, it is not a function because there are multiple y-values for some x-values. Specifically, the x-value 0 has two corresponding y-values, -2 and 0. Therefore, the graph represents a relation, but not a function.
I do not see a x = 0, y = 0 point. There is (0, -2) and a (-2 , 0)
Apologies for the misinterpretation. You are correct. The points on the graph are: (-6, -4), (-2, 0), (0, -2), and (4, -6). As these are all distinct points and each x-value corresponds to a unique y-value, this graph represents a function.