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To determine if the graph represents a function, we can apply the **vertical line test**. If any vertical line crosses the graph at more than one point, then the graph does not represent a function.

In this graph, a vertical line at multiple points (like near the center) would intersect the curve more than once. This means the graph **fails the vertical line test**.

### Answer: No, it is not a function.

Would you like further details, or do you have any questions?

Here are five related questions to explore further:

1. What is the vertical line test, and why does it determine if something is a function?
2. Can you describe a graph that would pass the vertical line test and be a function?
3. How would you write a function in terms of mathematical notation?
4. What types of graphs typically fail the vertical line test?
5. Are all curves that cross themselves unable to be functions?

**Tip:** Functions have only one output (y-value) for each input (x-value).

Learn how to determine if a graph represents a function by using the vertical line test. This question helps students understand function characteristics and whether graphs meet the criteria of one output for each input. Suitable for students in Grades 8-10.

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