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The graph provided shows a piecewise linear function. To determine the range of the function, we need to analyze the vertical extent of the function on the \( y \)-axis.

- The function starts at \( y = 9 \) when \( x = -8 \), and it decreases as \( x \) increases until it reaches a minimum value of \( y = -3 \) at \( x = 0 \).
- From there, the function starts increasing again and continues indefinitely in the positive direction of the \( y \)-axis.

Thus, the function covers all \( y \)-values starting from the minimum point at \( y = -3 \) and going upwards, without any upper limit.

### Range:
The range of the function is \( [-3, \infty) \).

Would you like further clarification, or do you have any other questions?

Here are some related questions to expand understanding:
1. How do you determine the domain of a piecewise function?
2. What is the importance of identifying minimum and maximum points in the graph of a function?
3. How can we algebraically find the range of a function given its equation?
4. What are piecewise functions, and how do they differ from regular functions?
5. How can we determine if a function is continuous or discontinuous?

**Tip**: Always check both the domain and range of a function to fully understand its behavior across all inputs and outputs.

What is the range of the function shown in the graph below?

Learn how to determine the range of a piecewise linear function from a graph. This example analyzes the minimum and maximum values of the function and explains how the function's behavior leads to a range of [-3, ∞). Suitable for students in Grades 9-12.

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