To solve this, we will follow the steps below:

1. Domain:

The domain of a relation is the set of all possible x-values (the first elements in each ordered pair). From the given relation:

$\{ (0, 7), (1, 7), (2, 7), (3, 7) \}$

The domain is:

$\{ 0, 1, 2, 3 \}$

2. Range:

The range of a relation is the set of all possible y-values (the second elements in each ordered pair). From the given relation, every pair has the same y-value of 7. So the range is:

$\{ 7 \}$

3. Function Check:

A relation represents a function if every x-value in the domain is associated with exactly one y-value. In this case, each x-value (0, 1, 2, 3) is paired with the y-value 7, which satisfies the definition of a function.

Conclusion:

• Domain: $\{ 0, 1, 2, 3 \}$
• Range: $\{ 7 \}$
• Is it a function? Yes, this relation represents a function because each x-value is paired with exactly one y-value.

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

Here are 5 related questions you might want to explore:

1. What is the domain and range of a linear function?
2. How do you identify a function from a set of ordered pairs?
3. What is the difference between a relation and a function?
4. Can a function have the same y-value for different x-values?
5. How do you determine the domain and range from a graph?

Tip: For a relation to be a function, no x-value should be paired with more than one y-value.