Question

what range is shown in the table?
x: 2, 1, 3, 2, 4
y: -2, 7, 7, 7, 3
options: 1, 4, -2, 3, {-2, 3, 7}, {1, 2, 2, 3, 4}

Explanation:

Step1: Recall Range Definition

The range of a relation (from a table) is the set of all \( y \)-values (outputs).

Step2: Identify \( y \)-Values

From the table, the \( y \)-values are \(-2\), \(7\), \(7\), \(7\), \(3\).

Step3: Simplify the Set

Remove duplicates: the unique \( y \)-values are \(-2\), \(3\), \(7\). So the range is \(\{-2, 3, 7\}\).

Answer:

\(\{-2, 3, 7\}\)