To determine the range of the function, we need to find all possible values of $y$ that the function can take based on the graph.

Analyzing the Graph:

1. The graph consists of three line segments.
2. The function's values on the $y$-axis range from the lowest point to the highest point covered by these segments.

Identifying the Range:

• The lowest $y$-value on the graph is at $y = -4$.
• The highest $y$-value on the graph is at $y = 4$.

The graph touches both $y = -4$ and $y = 4$ without any gaps in between these points, so the range of the function includes all values from $-4$ to $4$.

Conclusion:

The range of the function is: $[-4, 4]$

This interval notation means the function takes all values between $-4$ and $4$, inclusive of both endpoints.

Would you like more details or have any questions?

Related Questions:

1. What is the domain of the function shown in the graph?
2. How can you determine if a function is continuous from its graph?
3. What are the differences between open and closed intervals in math?
4. How would the range change if the highest point was at $y = 6$?
5. What would be the range if the graph only included $y > -2$?

Tip: When finding the range of a function from its graph, always look for the lowest and highest points on the $y$-axis that the graph reaches or touches.