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

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.

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.

No, the given relation is not a function.

Answer 1

[AI-generated answer — Bot GPT 3.5]

No, the given relation is not a function. This can be determined by applying the vertical line test, where a vertical line is drawn through the graph. If the vertical line intersects the graph at more than one point, then the relation is not a function. Since the semicircle passes through multiple points for the same x-coordinate, it fails the vertical line test and is not a function.