Question

suppose that the relation g is defined as follows. g = {(5, -2), (-1, 5), (-6, -6), (-2, 0)} give the domain and range of g. 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. For the relation \( G = \{(5, -2), (-1, 5), (-6, -6), (-2, 0)\} \), the first elements are 5, -1, -6, and -2. So we collect these into a set.
\(\{5, -1, -6, -2\}\)

Step2: Find the range

The range of a relation is the set of all second elements (y - values) in the ordered pairs. For the relation \( G \), the second elements are -2, 5, -6, and 0. So we collect these into a set.
\(\{-2, 5, -6, 0\}\)

Answer:

domain: \(\{ -6, -2, -1, 5\}\)
range: \(\{ -6, -2, 0, 5\}\)