Let's solve this step by step.

Problem Details:

The relation provided is a set of ordered pairs:
$\{(7, -6), (6, -6), (5, -6), (4, -6)\}.$

1. Domain: The domain is the set of all x-values (first elements) from the ordered pairs.
   From the relation: $\text{Domain} = \{7, 6, 5, 4\}.$

2. Range: The range is the set of all y-values (second elements) from the ordered pairs.
   From the relation: $\text{Range} = \{-6\}.$

3. Is it a function?
   A relation is a function if each x-value (domain element) maps to exactly one y-value.
   Here, each $x$-value is paired with the same $y$-value ($-6$), so the relation is a function.

Final Answers:

• Domain: $\{7, 6, 5, 4\}$
• Range: $\{-6\}$
• Is it a function?: Yes

Do you have any questions, or would you like further clarification?

Related Questions:

1. What is the formal definition of a function in mathematics?
2. Can a relation where two different $x$-values share the same $y$-value still be a function?
3. How would the answer change if the relation included $(7, -6)$ and $(7, -7)$?
4. How do we determine the range if the relation involves complex numbers?
5. Can a vertical line test be used to determine if a set of ordered pairs represents a function?

Tip:

A quick way to check if a relation is a function is by confirming that no $x$-value repeats with different $y$-values.