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

Question

(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 half-circle.

Answer 1

To determine if a relation is a function using the vertical line test, you check if any vertical line intersects the graph more than once. If any vertical line crosses the graph at more than one point, then the relation is not a function.

Since you mentioned that the relation is a half-circle, it will pass the vertical line test because a vertical line will intersect the half-circle at most one point (as a half-circle only covers one side).

Therefore, based on the vertical line test, the correct response would be:

Yes, the given relation is a function.