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To find the range of the linear function, let's analyze the graph you provided.

The graph shows a line that is part of a linear function. The key point to note is that the line is moving downwards from left to right, which indicates a negative slope. Since it's a linear function, the line will continue indefinitely in both directions.

In a linear function like this, the range represents all possible \( y \)-values that the function can take. Since the line extends infinitely in both upward and downward directions along the y-axis, the range of this function is:

\[
\boxed{(-\infty, \infty)}
\]

In other words, the line will cover all real numbers for the \( y \)-values.

Would you like more details or have any other questions?

Here are some related questions:
1. How do we find the slope of the line from the graph?
2. How would you write the equation of this line?
3. What is the domain of a linear function?
4. What happens if the line is vertical—how does that change the range?
5. Can a linear function ever have a limited range?

**Tip**: For any linear function, unless the line is horizontal, the range will always be all real numbers \( (-\infty, \infty) \).

What is the range of the function based on the graph of a linear function?

Learn how to determine the range of a linear function based on its graph. The solution explains that linear functions have an infinite range unless the line is horizontal, where all possible y-values are included. Suitable for students in Grades 9-10.

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