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What is the range of the function shown on the graph above?

To determine the range of the function shown in the graph, we first observe the vertical extent (along the y-axis) of the line segment.

Here are the key details from the graph:

1. **Endpoints**: The graph shows a line segment, which appears to have two endpoints:
   - The left endpoint is at approximately (-8, -4).
   - The right endpoint is at approximately (8, 6).

2. **Range**: The range of a function is the set of all possible values of \(y\) (output values) for the given function.

From the endpoints:
- The lowest \(y\)-value is \(-4\).
- The highest \(y\)-value is \(6\).

Thus, the **range** of the function is:
\[
[-4, 6]
\]

Would you like further details or have any other questions? 

Here are some related questions:
1. How do you determine the domain of a function from a graph?
2. What is the slope of the line in this graph?
3. How can you find the equation of this line using the two endpoints?
4. How is the range different from the domain in a function?
5. What are some methods to determine if a function is increasing or decreasing?

**Tip:** When looking for the range of a function, always focus on the vertical spread of the graph along the \(y\)-axis.

Understand how to determine the range of a function by analyzing the vertical extent of a graph. This problem involves identifying the endpoints of the function and understanding the range of possible y-values, suitable for students in Grades 9-11.

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