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The graph shows a linear function where the endpoints are clearly indicated. The range of a function is the set of all possible \( y \)-values that the function can take.

### Observing the graph:
- The line segment starts at the point \((-5, 3)\) and ends at the point \((2, -4)\).
- The \( y \)-value of the starting point is \( 3 \) (the highest point on the graph), and the \( y \)-value of the ending point is \( -4 \) (the lowest point on the graph).

Thus, the range of the function includes all \( y \)-values between \( -4 \) and \( 3 \).

### Answer:
The range is the set of all real numbers between \( -4 \) and \( 3 \).

So, the correct answer to the dropdown question would be:

- The range is the set of all real numbers between **-4** and **3**.

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Would you like further details or have any questions?

Here are some related questions to explore:
1. What is the domain of the linear function shown?
2. How do you determine the slope of this line from the graph?
3. What is the equation of this line in slope-intercept form?
4. Can a linear function have a limited range like this one?
5. How would the graph change if the slope of the line were positive?

**Tip:** Always identify the highest and lowest points on the graph when determining the range of a function.

What is the range of the part of the linear function shown?

Learn how to determine the range of a linear function by analyzing a graph. This example involves a line segment with endpoints at (-5, 3) and (2, -4), showing how to find the y-values between -4 and 3.

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