Final answer:
The given relation is a function because each x-value is paired with a unique y-value.
Step-by-step explanation:
A relation is considered a function if each element in the domain is paired with exactly one element in the codomain. In this case, the relation {(-2,5), (1,3), (0,1), (2,-5), (-1,2)} is a function because each x-value is paired with a unique y-value. There are no repeated x-values, and each x-value has only one corresponding y-value. Therefore, it satisfies the definition of a function.