Question

what is the range of this relation?
graph of a coordinate plane with points plotted at (-2, -3), (-1, 1), (-1, 5), (0, 5), (4, -3)
options:
{ -2, -1, 1, 5 }
{ -3, -1, 5 }
{ -3, 1, 5 }
{ -2, -1, 0, 4 }

Explanation:

Step1: Identify all relation points

The points on the graph are: $(-1, 5)$, $(0, 5)$, $(-1, 1)$, $(-2, -3)$, $(4, -3)$

Step2: Extract y-values (range)

The y-values of these points are: $5, 5, 1, -3, -3$

Step3: List unique y-values

Remove duplicates to get the range: $\{-3, 1, 5\}$

Answer:

$\{-3, 1, 5\}$ (corresponding to the bottom-left option)