Question

what is the range of this relation?
(there is a coordinate grid with points plotted. the options are: {-1, 0, 1, 4}, {-1, 0, 4}, {-5, -4, 0, 1}, {-5, -4, 1})

Explanation:

Step1: Identify the points

First, we find the coordinates of the plotted points. From the graph, the points are \((-5, 0)\), \((-4, -1)\), \((1, 4)\), and \((1, 0)\).

Step2: Determine the y - values (range)

The range of a relation is the set of all y - values (outputs) of the ordered pairs. For the points \((-5, 0)\), \((-4, -1)\), \((1, 4)\), and \((1, 0)\), the y - values are \(0\), \(-1\), \(4\), and \(0\) (we only list each unique y - value once). So the y - values are \(-1\), \(0\), and \(4\).

Answer:

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