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.