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The given relation \( R \) is a set of ordered pairs:

\[
R = \{(1, 12), (-1, 29), (21, -25), (6, 0)\}
\]

### Domain:
The domain of a relation is the set of all possible first elements (x-values) of the ordered pairs. From the relation \( R \), the domain consists of:

\[
\{1, -1, 21, 6\}
\]

### Range:
The range of a relation is the set of all possible second elements (y-values) of the ordered pairs. From the relation \( R \), the range consists of:

\[
\{12, 29, -25, 0\}
\]

### Final Answer:
- **Domain**: \( \{1, -1, 21, 6\} \)
- **Range**: \( \{12, 29, -25, 0\} \)

Would you like more details on how these sets are derived?

Here are some related questions:
1. What is the difference between a function and a relation?
2. How can you tell if a relation is a function by looking at its domain and range?
3. How would you represent this relation graphically on a coordinate plane?
4. Can a relation have the same element in the domain repeated with different outputs in the range?
5. How does the concept of domain and range apply to continuous functions?

**Tip:** When analyzing the domain and range, always focus on extracting values of \(x\) for the domain and values of \(y\) for the range, regardless of the order or repetition.

Find the domain and range of the relation R = {(1,12), (-1,29), (21,-25), (6,0)}.

Learn how to find the domain and range of the relation R = {(1,12), (-1,29), (21,-25), (6,0)}. This problem introduces key algebra concepts for analyzing ordered pairs. Suitable for students in Grades 6-8.

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