Question

1. what is the range of the following relation below?

x	y
2	-5
5	2
4	3
8	7

type a response

Explanation:

Step1: Recall the definition of range

The range of a relation (set of ordered pairs) is the set of all the \( y \)-values (output values) from the ordered pairs.

Step2: Identify the \( y \)-values from the table

From the given table, the \( y \)-values (the second column) are \(-5\), \(2\), \(3\), and \(7\).

Step3: List the range

We list these \( y \)-values as the range, making sure to present them in a set (usually in order, but the order isn't strictly necessary for a set, though we can sort them for clarity). Sorting them: \(-5\), \(2\), \(3\), \(7\).

Answer:

The range of the relation is \(\{-5, 2, 3, 7\}\)