Use the image to answer the question.

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 negative 5 comma 0 right parenthesis, left parenthesis 0 comma 5 right parenthesis, and left parenthesis 5 comma 0 right parenthesis.

The graph of a relation is given. Apply the vertical line test to determine if this relation is a function. Enter 1 if the relation is a function. Enter 2 if the relation is not a function.(1 point)
Remaining Attemp

Answer 1

To determine if the relation is a function using the vertical line test, we need to see if any vertical line drawn on the graph intersects the graph at more than one point.

Since the relation in question is a semicircle, any vertical line that intersects the semicircle will do so at either one point or two points, depending on where it is drawn.

For example:

• A vertical line through the center of the semicircle will intersect at two points (above and below the x-axis).
• A vertical line drawn at the endpoints (like x = -5 or x = 5) will only intersect at one point.

Since there are vertical lines that intersect the semicircle at two points, this indicates that the relation is not a function.

Therefore, the answer is 2 (the relation is not a function).