Final answer:
The domain of the relation is {3, 6, 1, 4, -1} and the range is {4, 2, -3, 0}. As all the x-values are unique, the relation is a function.
Step-by-step explanation:
To find the domain and range of the relation {(3, 4), (6,2), (1,-3), (4,2), (-1,0)}, we look at the first and second elements of the ordered pairs, respectively. The domain consists of the set of all first elements, which in this case are {3, 6, 1, 4, -1}. The range consists of the set of all second elements, which in this case are {4, 2, -3, 0}.
To determine if the given relation is a function, we must check for unique x-values. Since all the x-values in the domain are unique, this relation is indeed a function.