What does the vertical line test prove?

Understand the Problem

The question is asking about the significance of the vertical line test in mathematics, specifically in relation to determining if a graph represents a function. If a vertical line intersects the graph at more than one point, then the relation is not a function.

Answer

The vertical line test determines if a graph is a function.

The vertical line test proves whether or not a graph represents a function. If a vertical line intersects the graph at more than one point, the graph does not represent a function.

Answer for screen readers

The vertical line test proves whether or not a graph represents a function. If a vertical line intersects the graph at more than one point, the graph does not represent a function.

More Information

The vertical line test is a simple yet effective method used to determine if a graph represents a function. By drawing vertical lines across the graph, one can check if any of them intersect the graph more than once. If this happens at any point, the graph does not represent a function.

Tips

A common mistake is overlooking the entire graph and not checking all possible vertical lines. Ensure to test multiple vertical lines across different parts of the graph.

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