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.