To determine if the given relation is a function using the vertical line test, you can apply the following rule: If any vertical line intersects the graph more than once, then the relation is not a function.
In this case, you mentioned that the relation is a half-circle. A half-circle can be visualized as a semi-circular arc. If you were to draw vertical lines through the half-circle, each line would intersect the arc at most once.
Therefore, based on the information provided:
Yes, the given relation is a function.
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