Note: Your teacher will grade your responses to the following questions to ensure that you receive proper credit for your answers.

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.

Answer 1

To determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function, we need to use the vertical line test.

The vertical line test states that if we can draw a vertical line that intersects the curve or relation at more than one point, then the relation is not a function.

Let's graph the given relation and check if any vertical line intersects the curve at more than one point.

The graph is not provided, but we can imagine it based on the given points:

-6 | -2
|

-2 | 6
|

0 | 3
|

3 | 5

If we draw a vertical line anywhere on the graph, we can see that it will only intersect one point at a time.

Therefore, based on the vertical line test, the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function.