https://file.aiquickdraw.com/mathbot/file/1725418955603e2yagme3.jpg

The problem is asking which statement correctly describes the relation shown in the graph.

### Analyzing the Graph:
1. **Check if it's a Function**: A relation is a function if every input (x-value) has exactly one output (y-value). To determine this, we can use the **Vertical Line Test**. If any vertical line crosses the graph more than once, the graph does not represent a function.

2. **Identify Domain and Range**:
   - **Domain**: The set of all possible x-values. Based on the graph, the x-values range from -2 to 4.
   - **Range**: The set of all possible y-values. The y-values range from -1 to 5.

### Vertical Line Test:
- The graph has a "V" shape where a vertical line would cross it more than once in some sections, meaning it **fails** the Vertical Line Test. Therefore, it is **not** a function.

### Matching the Statements:
Let's examine each option:
- **A)** \[ Incorrect \] It claims the relation is a function, which it is not.
- **B)** \[ Correct \] It correctly states that the domain is \([-2, 4]\), the range is \([-1, 5]\), and the relation is not a function.
- **C)** \[ Incorrect \] The domain \([-1, 5]\) does not match the graph.
- **D)** \[ Incorrect \] It claims the relation is a function, which it is not.

### Conclusion:
The correct answer is **B**.

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. How can you determine the domain and range of a graph?
2. What is the Vertical Line Test and why is it important?
3. How can you tell if a relation is not a function just by looking at a set of ordered pairs?
4. Can a function have the same y-value for different x-values? Why or why not?
5. What are some real-life examples of relations that are not functions?

**Tip:** Always apply the Vertical Line Test to verify if a relation is a function when looking at a graph.

Which of the following best describes the relation shown in the graph?

Explore how to determine if a relation is a function by using the Vertical Line Test. Understand the concepts of domain and range in graph analysis. Suitable for students in Grades 8-10.

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