Let's analyze the arrow diagram to determine the domain and range.

In an arrow diagram:

• The domain consists of all the input values (elements from the first set, on the left) that have arrows coming out of them.
• The range consists of all the output values (elements from the second set, on the right) that receive arrows.

Analysis:

From the diagram:

• The input values are: $-2, 3, 7$.
• The output values are: $2, 4, 8$.

Arrows indicate the following mappings:

• $-2$ maps to $2$ and $8$.
• $3$ maps to $4$.
• $7$ maps to $8$.

Domain:

The domain is $\{-2, 3, 7\}$, as these are the values with arrows coming out of them.

Range:

The range is $\{2, 4, 8\}$, as these are the values with arrows pointing to them.

Conclusion:

The correct choice is (d), which states:

• Domain: $\{-2, 3, 7\}$
• Range: $\{2, 4, 8\}$

Let me know if you'd like more details or have further questions.

Here are five related questions for you to explore:

1. How do you determine if a relation is a function from an arrow diagram?
2. What is the difference between domain and range in mathematical functions?
3. How can you find the range of a function if only the domain is known?
4. What is an example of a function where the domain and range are the same set?
5. Can a single input map to more than one output in a function?

Tip: In a function, each input from the domain must map to exactly one output in the range.