Question

Use the vertical line test to determine whether each relation is also a function.
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Part 1
Using the vertical line​ test, is this the graph of a​ function?
No
No
Yes
Yes
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.
.
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Part 1
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2
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-10
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y

Answers

Answered by GPT-4o mini
To determine whether a relation represented by a graph is a function using the vertical line test, we need to check if any vertical line drawn through the graph intersects it at more than one point.

Here's how the vertical line test works:

1. Imagine drawing vertical lines (parallel to the y-axis) anywhere on the graph.
2. If a vertical line touches the graph at more than one point, then the relation is not a function since that would imply that there are multiple y-values for a single x-value.
3. If every vertical line intersects the graph at most once, then the relation is a function.

Without seeing the specific graph you're referring to, I can't make a direct evaluation. However, you can apply this method as follows:

- If you can find any vertical line that intersects the graph more than once, then the answer is **No**, the graph does not represent a function.
- If every vertical line intersects the graph at exactly one point, then the answer is **Yes**, the graph is a function.

If you have the graph available, try drawing vertical lines through various sections of the graph to conduct this test. If you would like, you can describe the graph or its key features, and I can help you further analyze it.
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