Question

suppose that the relation s is defined as follows.
s = {(3, -7), (5, 6), (-7, 8), (5, 0)}
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 \( S = \{(3, -7), (5, 6), (-7, 8), (5, 0)\} \), the first elements are 3, 5, -7, and 5. We list each unique first element. So the domain elements are -7, 3, 5.

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 \( S \), the second elements are -7, 6, 8, 0. We list each unique second element. So the range elements are -7, 0, 6, 8.

Answer:

domain: \(\{-7, 3, 5\}\)
range: \(\{-7, 0, 6, 8\}\)