A graph is shown with the first points: (0, -3) and the second points being (3, 0)

The graph of a relation is given. Apply the vertical line test to determine if this relation is a function.

(1 point)
Responses

Yes, the given relation is a function.
Yes, the given relation is a function.

There is not enough information to determine whether this relation is a function.
There is not enough information to determine whether this relation is a function.

No, the given relation is not a function.
No, the given relation is not a function.

The relation is a straight line.

1 answer

To determine if the relation is a function using the vertical line test, we apply the following principle: if any vertical line intersects the graph of the relation in more than one point, then the relation is not a function.

Based on the points you've provided, (0, -3) and (3, 0), if we assume these points are part of a linear relationship (which seems likely given they form a straight line), a vertical line will only intersect the line at a single point for each x-value.

Since the relation appears to be linear and no vertical line can intersect the graph more than once (given these two points), we conclude that the vertical line test is satisfied.

Thus, the correct response is:

Yes, the given relation is a function.