https://file.aiquickdraw.com/mathbot/file/1725368093538cp08gvs8.jpg

To determine which of the graphs is a function, we can apply the **vertical line test**. This test states that if any vertical line intersects a graph at more than one point, then the graph does not represent a function.

Let's analyze each graph:

- **Graph A**: A vertical line can intersect the graph at multiple points (e.g., the loop on the left side), so it is **not** a function.
- **Graph B**: A vertical line can intersect the graph at multiple points (e.g., at the left side), so it is **not** a function.
- **Graph C**: A vertical line intersects the graph at only one point in any vertical line you draw. This means that it **is** a function.
- **Graph D**: A vertical line can intersect the graph at multiple points (e.g., the top and bottom of the circle), so it is **not** a function.

**Answer: C) Graph C**

Would you like a more detailed explanation, or do you have any other questions?

Here are five relative questions for you:
1. What defines a function in mathematical terms?
2. How does the vertical line test help in identifying a function?
3. What are some examples of functions that fail the vertical line test?
4. Can a graph that passes the vertical line test ever represent a non-function?
5. How do piecewise functions behave under the vertical line test?

**Tip:** Understanding the vertical line test is crucial for quickly identifying functions from their graphs.

Which of the graphs in the image below is a function?

Determine which graph represents a function using the vertical line test. This problem involves understanding how to identify functions and apply the vertical line test, essential for students in Grades 7-10.

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