Question

Given the ordered pairs of (5,6), (3,2), (1, -2), and (-1, -6), what domain is represented?

a) (6, 2, -2, -6)
b) (1, -2, -1, -6)
c) (5, 6, 3, 2)
d) (-1, 1, 3, 5)

Answer 1

The domain represented by the given ordered pairs is (-1, 1, 3, 5). Therefore, the correct option is d) (-1, 1, 3, 5).

Step-by-step explanation:

The domain of a set of ordered pairs refers to the collection of all x-values present in those pairs. In this scenario, the x-values in the given ordered pairs are 5, 3, 1, and -1. When arranged in ascending order, these x-values are -1, 1, 3, and 5, which matches option D. Therefore, the domain represented by the ordered pairs provided in the question corresponds to the set (-1, 1, 3, 5) in terms of x-values.

To determine the domain from a set of ordered pairs, it's crucial to isolate and identify all unique x-values. The x-values denote the domain in the context of ordered pairs. In this case, the x-values are -1, 1, 3, and 5, and when sorted in ascending order, they match those listed in option D.

The domain represents the complete set of unique x-values present in the ordered pairs given. Sorting these values in ascending order helps to precisely identify the domain represented by those pairs, making option D) (-1, 1, 3, 5) the correct choice. Therefore, the correct option is d) (-1, 1, 3, 5).