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The graph you've provided is a linear function, which is a straight line extending in both directions. To determine the **domain** and **range**, let's analyze the behavior of the line:

1. **Domain**: The domain of a linear function is the set of all possible x-values the function can take. Since the line extends infinitely in both directions along the x-axis, the domain is all real numbers. This is expressed as:
   \[
   \text{Domain}: (-\infty, \infty)
   \]

2. **Range**: The range is the set of all possible y-values the function can take. Similarly, because the line continues infinitely in both the positive and negative directions along the y-axis, the range is also all real numbers:
   \[
   \text{Range}: (-\infty, \infty)
   \]

Would you like a detailed explanation of how the slope or specific points on the line relate to the equation of this linear function?

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Here are some related questions you might explore:
1. What is the equation of this linear function?
2. How do you calculate the slope of the line?
3. Can you determine the x- and y-intercepts from the graph?
4. How does the slope affect the direction of the line?
5. What are some real-life examples of linear functions?

**Tip**: When finding the domain and range of a linear function, remember that unless the function has restrictions (like vertical or horizontal lines), both the domain and range will be all real numbers!

What are the domain and the range of the linear function shown in the graph?

This problem asks students to find the domain and range of a linear function based on its graph. The line extends infinitely, making both the domain and range all real numbers. This topic covers essential algebraic concepts and is suitable for students in Grades 8-10.

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