Use the vertical line test to determine if the relation {(-6, -2), (-2, 6), (0, 3) (3, 5)} is a function Explain your response
To use the vertical line test, we need to visually inspect the graph of the relation. A relation is a function if each input (x-coordinate) is associated with only one output (y-coordinate).
Looking at the given coordinates, (-6, -2), (-2, 6), (0, 3), and (3, 5), we can plot these points on a graph.
When we draw vertical lines passing through the x-values of each coordinate, we observe that each vertical line intersects the graph at only one point.
Thus, every x-coordinate corresponds to a unique y-coordinate, meeting the definition of a function.
Therefore, the relation {(-6, -2), (-2, 6), (0, 3), (3, 5)} is indeed a function.