https://file.aiquickdraw.com/mathbot/file/1728056536864poix5c3a.jpg

To analyze the graph and determine the domain and range, let's break it down:

### Domain
- The domain refers to all possible \( x \)-values for which the function is defined.
- From the graph, we can see the function starts at \( x = -7 \) and ends at \( x = 8 \), but there seems to be a gap in the graph between \( x = -1 \) and \( x = 2 \).
- Therefore, the domain consists of two intervals: \( [-7, -1] \) and \( [2, 8] \).

The correct choice for the domain is **C**: \( [-7, -1] \) and \( [2, 8] \).

### Range
- The range refers to all possible \( y \)-values the function can take.
- Looking at the graph, the lowest point of the function is at \( y = -6 \) and the highest is at \( y = 8 \).
- This means the range of the function is from \( y = -6 \) to \( y = 8 \), inclusive.

The correct choice for the range is **C**: \( [-6, 8] \).

Would you like further clarification on any of these points?

### Related Questions:
1. What is the difference between domain and range?
2. How do you determine if a function has gaps in its domain?
3. What types of functions typically have restricted domains?
4. How can you determine the range of a function from a graph?
5. Can a function have the same domain but a different range?

### Tip:
Always check for discontinuities or gaps in the graph when determining the domain of a function.

Find the domain and range of the function whose graph is on the right.

Learn how to find the domain and range of a piecewise-defined function from a graph. The domain is [-7, -1] and [2, 8], while the range is [-6, 8]. Suitable for students in Grades 9-11.

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