To apply the vertical line test to determine if a relation is a function, you check whether any vertical line drawn on the graph intersects the graph at more than one point.
If any vertical line intersects the graph at more than one point, then the relation is not a function. If every vertical line intersects the graph at exactly one point, then the relation is a function.
Since I cannot see the graph you are referring to, I cannot make a definitive conclusion. However, here’s how you would interpret the results based on the vertical line test:
- If you observe any vertical line intersecting the graph at multiple points, the correct choice would be: No, the given relation is not a function.
- If every vertical line intersects the graph at most once, the correct choice would be: Yes, the given relation is a function.
- If you can't determine because the graph is unclear, the option would be: There is not enough information to determine whether this relation is a function.
If the graph of the relation is specifically described as a half-circle, it typically fails the vertical line test because vertical lines drawn at the endpoints of the half-circle will intersect the graph at more than one point. Thus, in this case, you would conclude: No, the given relation is not a function.
Please evaluate the graph using the vertical line test based on the criteria described.
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