Question

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.

The relation is a half-circle.
The relation is a half-circle.

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.

Answer 1

To determine if the given relation is a function using the vertical line test, you can apply the following rule: If any vertical line intersects the graph more than once, then the relation is not a function.

In this case, you mentioned that the relation is a half-circle. A half-circle can be visualized as a semi-circular arc. If you were to draw vertical lines through the half-circle, each line would intersect the arc at most once.

Therefore, based on the information provided:

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