To analyze this question, let's go through each part step-by-step.

Step 1: Identify the Domain and Range

The graph shows four points:

• $(-3, -1)$
• $(0, -2)$
• $(2, 0)$
• $(3, 1)$

1. Domain: The domain consists of all the x-values of the points in the graph. Therefore, the domain is: $\{-3, 0, 2, 3\}$

2. Range: The range consists of all the y-values of the points in the graph. Thus, the range is: $\{-1, -2, 0, 1\}$

Step 2: Determine if the Relation is a Function

A relation is a function if each x-value is associated with only one y-value. In this graph, each x-value has a unique y-value associated with it:

• $-3$ maps to $-1$
• $0$ maps to $-2$
• $2$ maps to $0$
• $3$ maps to $1$

Since each x-value corresponds to only one y-value, this relation is a function.

Step 3: Choose the Correct Answer

Now we match this information with the answer choices:

• Option B matches our findings:**
  • Domain: $\{-3, 0, 2, 3\}$
  • Range: $\{-2, -1, 0, 1\}$
  • It states that this is a function.

Thus, Option B is the correct answer.

Would you like a detailed breakdown of how functions and relations work? Here are some related questions:

1. How can you find the domain and range of other types of relations or functions?
2. What is the difference between a function and a non-function?
3. Can a function have more than one y-value for the same x-value?
4. How can you determine if a relation is a function just by looking at its graph?
5. What are real-world examples of functions and non-functions?

Tip: When identifying whether a relation is a function, use the "vertical line test" on the graph. If a vertical line intersects the graph at more than one point, the relation is not a function.