Final answer:
The relation given is not a function because an x-value corresponds to multiple y-values. The domain of the relation is {5, -1, 3}, and the range is {3, 0, -4, 2}.
Step-by-step explanation:
To determine whether the relation is a function and find the domain and range, let's examine the given set of ordered pairs: {(5,3),(-1,0),(3,-4),(-1,2)}. A relation is defined as a function if every x-value (input) corresponds to exactly one y-value (output). However, we can see that the x-value -1 corresponds to two different y-values (0 and 2). This means the relation is not a function.
Even though the relation is not a function, we can still find its domain and range. The domain of a relation is the set of all x-values. For the given relation, the domain is {5, -1, 3}, where -1 is only listed once despite appearing twice since a domain comprises unique elements.
The range is the set of all y-values. In this case, we have the range as {3, 0, -4, 2}.