The question visible in your image asks: "What is the purpose of the vertical line test?"

The vertical line test is a method used to determine whether a given graph represents a function. Here's how it works:

• Definition: If a vertical line passes through a graph and intersects it at more than one point, the graph does not represent a function.
• Purpose: The test is used to ensure that each input (or x-value) in the graph has only one corresponding output (or y-value). This is the key characteristic of a function.

In simpler terms: if a vertical line crosses the graph at more than one point, then the graph does not meet the definition of a function (because one x-value corresponds to multiple y-values).

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Related Questions:

1. What is the horizontal line test and how does it differ from the vertical line test?
2. Can a graph fail the vertical line test but pass the horizontal line test? Explain.
3. How does the concept of functions relate to the vertical line test?
4. What are some real-life examples where the vertical line test could be applied?
5. How do you graphically determine if a set of points represents a function?

Tip:

When graphing, always visualize how vertical lines would intersect with the graph to quickly check if it's a function.