Question

suppose that the relation s is defined as follows. s = {(0, 8), (8, c), (3, a), (3, b)} give the domain and range of s. write your answers using set notation. domain: range:

Explanation:

Step1: Find the domain

The domain of a relation is the set of all first elements (x - values) in the ordered pairs. From the relation \( S = \{(0, 8), (8, c), (3, a), (3, b)\} \), the first elements are 0, 8, 3, 3. Removing duplicates, the domain is \( \{0, 3, 8\} \).

Step2: Find the range

The range of a relation is the set of all second elements (y - values) in the ordered pairs. From the relation, the second elements are 8, c, a, b. So the range is \( \{8, a, b, c\} \).

Answer:

domain: \(\{0, 3, 8\}\)
range: \(\{8, a, b, c\}\)