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.