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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 Attempts : 3
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Answer 1

To determine if the relation represented by the semicircle is a function, we can apply the vertical line test. The vertical line test states that if any vertical line intersects the graph of the relation more than once, the relation is not a function.

In the case of a semicircle, it opens either upwards or downwards, and there are points on the left and right sides of the semicircle that will vertically align with points in the middle. For example, if you draw a vertical line at \( x = 0 \), it will intersect the semicircle at two points (the left and right half of the semicircle).

Since there are vertical lines that can intersect the graph of the semicircle at more than one point, the relation is not a function.

Therefore, you should enter 2 to indicate that the relation is not a function.