Question

suppose that the relation g is defined as follows.
g = {(5, 5), (1, 4), (1, -4)}
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 \( G = \{(5, 5), (1, 4), (1, - 4)\} \), the first elements are 5, 1, and 1. Removing duplicates, the domain is the set containing 5 and 1.
So, domain \(=\{5, 1\}\)

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 \( G=\{(5, 5),(1, 4),(1, - 4)\} \), the second elements are 5, 4, and - 4. Removing duplicates, the range is the set containing 5, 4, and - 4.
So, range \(=\{5, 4, - 4\}\)

Answer:

domain: \(\{1, 5\}\)
range: \(\{-4, 4, 5\}\)