The function \( f(x) = 7 \) is a constant function. This means that for any value of \( x \), the output of the function will always be 7. 

Key points:
1. **Graphically**: This would be a horizontal line on the coordinate plane, passing through \( y = 7 \). 
2. **Domain**: The domain of the function is all real numbers, \( (-\infty, \infty) \), because you can plug any real value of \( x \) into the function.
3. **Range**: The range of the function is just the single value \( \{7\} \), since no matter what \( x \) is, the output is always 7.
4. **Slope**: The slope of this line is 0 because the line is horizontal, indicating no change in \( y \) as \( x \) changes.

Would you like any details or further clarification?

Here are 5 related questions:
1. How would you graph the function \( f(x) = 7 \)?
2. What is the domain and range of the function \( f(x) = 7 \)?
3. How does \( f(x) = 7 \) compare to linear functions with non-zero slopes?
4. What would happen if we added another function to \( f(x) = 7 \)?
5. How does the concept of slope apply to constant functions like \( f(x) = 7 \)?

**Tip**: A constant function always produces the same output, making it easy to analyze and graph.

Explore the constant function f(x) = 7. This problem covers key concepts like graphing constant functions, identifying domain and range, and understanding why the slope of the graph is zero. Suitable for students in Grades 6-8.

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