https://file.aiquickdraw.com/mathbot/file/1731979223154ob0bbuou.jpg

This image shows a multiple-choice question asking whether the given graph represents a function. To determine this, you can apply the **vertical line test**: 

If any vertical line drawn on the graph intersects the curve at more than one point, then the graph does **not** represent a function. 

Looking at the graph:

1. The vertical line at \( x = 0 \) would intersect the graph at two points due to the overlap, violating the rule of a function (one output \( y \) for each input \( x \)).

### Conclusion:
The correct answer is:
**No, this is not a function.**

Let me know if you need further details! Here are 5 related questions to explore the concept further:

1. What is the vertical line test, and why is it used to identify functions?
2. Can a graph that fails the vertical line test ever be part of a real-world situation? If so, give examples.
3. What is the difference between a function and a relation in mathematics?
4. How can you rewrite the equation of a curve that fails the vertical line test to turn it into a function?
5. What are some key characteristics of graphs that always represent functions (e.g., linear, quadratic)?

### Tip:
When graphing functions, always verify that each \( x \)-value corresponds to exactly one \( y \)-value by visual inspection or applying the vertical line test.

Learn how to identify if a graph represents a function by applying the vertical line test. Explore the criteria that define functions, understand why this graph fails the test, and review similar examples suitable for students in Grades 8-10.

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