Question

Use the image to answer the question.
An illustration shows a coordinate plane with four quadrants. The x and y axes range from negative 6 to 6 in increments of 1. A semicircle is graphed on the plane. The semicircle passes through points plotted at coordinates left parenthesis 0 comma 6 right parenthesis, left parenthesis 6 comma 0 right parenthesis, and left parenthesis 0 comma negative 6 right parenthesis.

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

Answer 1

No — the relation is not a function. A vertical line at any x with 0 < x < 6 meets the semicircle twice (one positive y and one negative y), so it fails the vertical line test.