Question

determine the domain and the range of the relation, and tell whether the relation is a function. {(6,6), (22, - 1), (36,6), (6,1), (54,1)} the domain is {□}. (use a comma to separate answers as needed. type each answer only once.) the range is {□}. (use a comma to separate answers as needed. type each answer only once.) is this relation a function? ∘ yes ∘ no

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 \(\{(6,6),(22, - 1),(36,6),(6,1),(54,1)\}\), the first elements are 6, 22, 36, 6, 54. Removing duplicates, the domain is \(\{6,22,36,54\}\).

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 6, - 1, 6, 1, 1. Removing duplicates, the range is \(\{-1,1,6\}\).

Step3: Determine if it's a function

A relation is a function if each input (x - value) has exactly one output (y - value). Here, the x - value 6 is paired with both 6 and 1. So, it is not a function.

Answer:

The domain is \(\{6,22,36,54\}\).
The range is \(\{-1,1,6\}\).
Is this relation a function? \(\text{No}\)