The student's error lies in misidentifying the domain and range of the given relation. The domain of a relation is the set of all x-values or inputs, while the range is the set of all y-values or outputs.
In this case, the correct domain of the relation is {5, -2, 1, 0}, as these are the x-values present in the relation. The student incorrectly listed the y-values instead of the x-values for the domain.
Similarly, the correct range of the relation is {-1, 3, 6, 4}, as these are the y-values present in the relation. The student incorrectly listed the x-values instead of the y-values for the range.