Verticals line test to determine if the relation (-6,-2), (-2,6), (0,3), (3,5) is a function

Answer 1

To determine if the given set of points forms a function, we can use the vertical line test. The vertical line test states that for a relation to be a function, no vertical line should intersect the graph more than once.

Let's plot the given points on a graph:

(-6,-2), (-2,6), (0,3), (3,5).

The graph looks like this:

```
|
8 |
| . (3,5)
6 |
|
4 |
| . (0,3)
2 | . (6,-2)
|
----------------------------------
-8 -6 -4 -2 0 2
```

Based on the graph, we can see that no vertical line intersects the graph more than once. Therefore, the relation (-6,-2), (-2,6), (0,3), (3,5) is a function.