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.
Sources
- What does the vertical line test prove? - Cuemath - cuemath.com
- The Vertical Line Test Explained in 3 Easy Steps - Mashup Math - mashupmath.com
- Vertical Line Test | ChiliMath - chilimath.com
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