Verticals line test to determine if the relation (-6,-2), (-2,6), (0,3), (3,5) is a function
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.
To determine if a relation is a function, we can use the vertical line test. In the given relation, (-6,-2), (-2,6), (0,3), and (3,5), we need to check whether every vertical line crosses the graph at most once.
Let's plot the given points on a graph:
(-6,-2) (-2,6) (0,3) (3,5)
|________|
|
|
|
Now, draw some vertical lines passing through the graph:
|¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯|
|¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯|
|_________|
From the graph, we can see that every vertical line intersects the graph at most once. Therefore, the given relation (-6,-2), (-2,6), (0,3), and (3,5) is a function.