Question

assignment
identify the domain and range of each

1. {(2, 5), (2, -3), (5, 7)}

domain _______________
range _______________
function? _______________

Explanation:

Step1: Find the domain

The domain of a relation (set of ordered pairs) is the set of all first elements (x - values) of the ordered pairs. For the set \(\{(2, 5), (2, - 3), (5, 7)\}\), the first elements are 2, 2, and 5. Removing duplicates, the domain is \(\{2, 5\}\).

Step2: Find the range

The range of a relation is the set of all second elements (y - values) of the ordered pairs. For the given set, the second elements are 5, - 3, and 7. So the range is \(\{-3, 5, 7\}\).

Step3: Determine if it's a function

A relation is a function if each element in the domain is paired with exactly one element in the range. Here, the domain element 2 is paired with both 5 and - 3. So it is not a function.

Answer:

Domain: \(\{2, 5\}\)
Range: \(\{-3, 5, 7\}\)
Function? No