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This is the graph of a linear function.
What is the range of the function?
Write your answer as an equation like x=5, as an inequality like y>3, or as a compound inequality like 2≤x<4.

To determine the **range** of the given linear function, let's analyze the graph provided.

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### Observations:
1. The line segment is located in the **lower-right** part of the graph.
2. The segment begins at around \( x = 5 \) and \( y = -6 \) and ends near \( x = 9 \) and \( y = -8 \).
3. As \( x \) increases from 5 to 9, \( y \) decreases linearly.

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### Range of the Function:
The **range** of the function corresponds to the set of all possible \( y \)-values the graph covers. From the graph:
- The lowest \( y \)-value is **-8** (at \( x = 9 \)).
- The highest \( y \)-value is **-6** (at \( x = 5 \)).

Thus, the range of the function is:

\[
-8 \leq y \leq -6
\]

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### Final Answer:
The range is \( -8 \leq y \leq -6 \).

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Do you need further clarification or a step-by-step explanation?

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### Related Questions:
1. What is the domain of this function?
2. How do you determine the slope of the line segment?
3. Can this graph be extended to represent the entire real number line?
4. How would the equation of the line segment be expressed in slope-intercept form?
5. What is the midpoint of this line segment?

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### Tip:
For linear functions, the range is determined by observing the \( y \)-values covered by the graph (line or segment). For infinite lines, the range is usually all real numbers, unless otherwise restricted.

This is the graph of a linear function.
What is the range of the function?
Write your answer as an equation like x = 5, as an inequality like y > 3, or as a compound inequality like 2 ≤ x < 4.

Learn how to determine the range of a linear function by analyzing its graph. In this example, the range of the graph is found to be -8 ≤ y ≤ -6, where y-values decrease linearly as x increases. Suitable for Grades 6-8 students learning about graphing and linear equations.

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