Question

suppose that the relation s is defined as follows. s = {(-1, -3), (-1, 9), (-8, -4)} give the domain and range of s. write your answers using set notation. domain: \boxed{} range: \boxed{}

Explanation:

Step1: Find the domain

The domain of a relation is the set of all first elements (x - values) in the ordered pairs. The ordered pairs in \( S \) are \( (-1, -3) \), \( (-1, 9) \), \( (-8, -4) \). The first elements are \( -1 \), \( -1 \), \( -8 \). Removing duplicates, the domain is \( \{-1, -8\} \).

Step2: Find the range

The range of a relation is the set of all second elements (y - values) in the ordered pairs. The second elements are \( -3 \), \( 9 \), \( -4 \). Removing duplicates, the range is \( \{-4, -3, 9\} \).

Answer:

domain: \(\{-1, -8\}\)
range: \(\{-4, -3, 9\}\)