State the domain and range for the following relation. Then determine whether the relation represents a function.
StartSet left parenthesis 0 comma 7 right parenthesis comma left parenthesis 1 comma 7 right parenthesis comma left parenthesis 2 comma 7 right parenthesis comma left parenthesis 3 comma 7 right parenthesis EndSet

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.

Learn how to determine the domain and range of the relation {(0,7), (1,7), (2,7), (3,7)} and check whether it represents a function. This problem introduces key concepts like relations, functions, and how to identify domain and range. Suitable for students in Grades 7-8.

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