The graph of a relation is given. Apply the vertical line test to determine if this relation if a function.
• the relation is a half-circle
• no, the given relation is not a function
• yes, the given relation is a function
• there is not enough information to determine whether this relation is a function
Yes, the given relation is a function.
When applying the vertical line test to the graph of a half-circle, each vertical line intersects the graph at exactly one point. This means that for each input value (x-coordinate), there is only one output value (y-coordinate), making it a function.