Final answer:
Relation A, with domain {1, 3, 5, 7, 9} and range {2, -4, 6, 8, 10}, is a function. Relation B, with domain {7, 9, 8, 1} and range {0, 6, 1}, is not a function because the domain element '9' corresponds to more than one range value.
Step-by-step explanation:
To determine the domain and range of each relation and whether each relation is a function, we must look at the sets of ordered pairs provided.
Relation A
Relation A consists of the following ordered pairs: (1,2), (3,-4), (5,6), (7,8), (9,10). Here, the domain (which consists of the first elements of each ordered pair) is {1, 3, 5, 7, 9}. The range (which consists of the second elements of each ordered pair) is {2, -4, 6, 8, 10}. Since none of the first elements are repeated, Relation A is a function.
Relation B
Relation B includes the ordered pairs: (7,0), (9,6), (8,0), (9,6), (1,1). The domain for Relation B is {7, 9, 8, 1}, noting that the pair (9,6) is repeated, but this does not change the domain set. The range is {0, 6, 1}. However, because the element '9' appears twice in the domain with different corresponding range values, Relation B is not a function.