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The graph shown represents a portion of a linear function. The question asks for the **range** of the function, which refers to the possible values of \( y \) based on the graph.

To determine the range, observe the \( y \)-values the line covers on the graph:
1. The line extends from \( y = -8 \) at the lowest point, where \( x = -4 \), to \( y = -2 \) at the highest point, where \( x = -1 \).
2. Since this is a straight line segment, the range consists of all \( y \)-values between \( -8 \) and \( -2 \).

Thus, the **range** of the function is:

\[
-8 \leq y \leq -2
\]

Would you like more details or clarification on any part of this explanation? 

Here are 5 related questions to expand on this concept:
1. What is the domain of this linear function?
2. How would the range change if the line extended further in either direction?
3. What is the slope of the line based on the graph?
4. How would you write the equation of this line?
5. How does the range of a function differ from its domain?

**Tip:** In linear functions, the range is determined by the minimum and maximum \( y \)-values that the line reaches within the given domain.

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

Understand how to determine the range of a linear function from its graph. This problem involves analyzing the y-values between -8 and -2. Suitable for students in Grades 6-8, covering key algebraic concepts and linear functions.

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