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To determine whether the given graph represents a function, we can apply the **vertical line test**. This test states that for a graph to represent a function, any vertical line drawn through the graph must intersect it at no more than one point.

In the provided graph:

- The black dots appear to represent points on a coordinate plane.
- If we imagine vertical lines through the \(x\)-values of these points, we need to check if any of these lines intersect the graph at more than one point.

Let's analyze the points:
- There are no vertical lines that intersect more than one point. Therefore, each \(x\)-value has only one corresponding \(y\)-value.

Since no vertical line passes through more than one point on the graph, **the graph does represent a function**.

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

Here are 5 related questions you might want to explore:
1. How does the vertical line test work for more complex graphs?
2. What are the differences between functions and relations?
3. How do you determine the domain and range of a function from its graph?
4. What happens if a vertical line intersects more than one point on the graph?
5. How can you express the points on this graph algebraically?

**Tip:** A function maps each input to exactly one output; the vertical line test helps verify this visually.

Explore how to determine if a given graph represents a function using the vertical line test. This problem involves checking if each x-value on the coordinate plane corresponds to exactly one y-value, ensuring the graph passes the function criteria. Suitable for students in Grades 8-10.

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