Find the domain and the range of the relation. Determine whether the relation is a function.
{(7/2, 1/3) (3 1/2, -9). (0, 5/6)}
The domain of a relation is the set of all the x-values, or the first values in each ordered pair. In this relation, the x-values are 7/2, 3 1/2, and 0. So the domain is {7/2, 3 1/2, 0}.
The range of a relation is the set of all the y-values, or the second values in each ordered pair. In this relation, the y-values are 1/3, -9, and 5/6. So the range is {1/3, -9, 5/6}.
To determine whether the relation is a function, we need to check if each x-value is associated with only one y-value. The relation is a function if and only if each x-value has a unique and corresponding y-value.
In this case, each x-value in the domain is associated with a unique y-value. Therefore, the relation is a function.