Question

what is the range of this relation? { - 4, - 1, 0, 1, 2 } { - 4, 0, 1, 2, 3 } { - 4, - 1, 2, 3 } { - 4, 0, 1, 2 }

Explanation:

Step1: Identify the y - coordinates of the points

First, we find the coordinates of each red dot on the graph. The points are: \((-4, 2)\), \((-4, 0)\), \((-1, - 4)\), \((2,-1)\), \((3,1)\)

Step2: Extract the y - values (range)

The range of a relation is the set of all y - coordinates of the ordered pairs. So we take the y - values from each point: \(2\), \(0\), \(-4\), \(-1\), \(1\)

Step3: Organize the y - values

We organize these y - values in ascending order: \(-4\), \(-1\), \(0\), \(1\), \(2\)

Answer:

\(\{-4, - 1, 0, 1, 2\}\)