Question

Use the vertical line test to determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function. Explain your response. (2 points) BoldItalicUnderlineBullet listNumbered listUndoRedo

Answer 1

The vertical line test is a method used to determine if a relation is a function. The test involves drawing a vertical line through the graph of the relation and checking if it intersects the graph in more than one point.

In the given relation {(–6, –2), (–2, 6), (0, 3), (3, 5)}, we can plot these points on a graph. The relation would look as follows:

(-6, -2) |
(-2, 6) | *
(0, 3) | *
(3, 5) | *

Now, if we draw vertical lines through the graph, we can see that each line intersects the graph at only one point. There is no vertical line that intersects the graph in multiple points. Therefore, the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} passes the vertical line test, indicating that it is a function.