Final answer:
The domain of the given relation is {-1, 0, 1, 4, 5}, and the range is {-6, 0, 1, 2, 3}, corresponding to option C.
Step-by-step explanation:
The domain of a relation consists of all the first elements of the ordered pairs, and the range consists of all the second elements. Looking at the set of ordered pairs {(-1, 3), (1, 2), (4, -6), (0, 1), (5, 0)}, we can determine the domain and range by listing the unique first and second elements of the pairs respectively.
For the domain, we have the set of x-values: {-1, 0, 1, 4, 5}. For the range, we have the set of y-values: {-6, 0, 1, 2, 3}.
Therefore, the correct option is C: Domain: {-1, 0, 1, 4, 5} and Range: {-6, 0, 1, 2, 3}.