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

(1 point)
Responses

The relation is a half-circle.

Yes, the given relation is a function.

No, the given relation is not a function.

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

1 answer

To determine if a relation is a function using the vertical line test, you need to check if any vertical line intersects the graph of the relation at more than one point. A relation is a function if each input (x-value) has exactly one output (y-value).

In the case of a half-circle, a vertical line would intersect the half-circle at most one point, indicating that for each x-value, there is only one y-value associated with it.

Therefore, if the relation is a half-circle, the correct response is:

Yes, the given relation is a function.