https://file.aiquickdraw.com/mathbot/file/1727654457669gtfcecba.jpg

Let's analyze the graph in the image to determine the **domain** and **range** of the function:

### Domain:
The domain represents all possible \(x\)-values for which the function is defined. From the graph:
- The graph starts around \(x = -8\) and extends to \(x = 10\).
- The function seems continuous between those points (except for a possible vertical jump at \(x = 4\)).
  
So, the domain is:
\[
[-8, 10]
\]

### Range:
The range represents all possible \(y\)-values that the function can take. From the graph:
- The minimum \(y\)-value appears to be around \(y = -6\).
- The maximum \(y\)-value is approximately \(y = 8\).

So, the range is:
\[
[-6, 8]
\]

### Final Answer:
- **Domain**: \([-8, 10]\)
- **Range**: \([-6, 8]\)

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

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Here are 5 related questions you might consider:
1. How do we define the domain and range for a continuous function?
2. Can a function have a domain that is not continuous? What would that look like?
3. How can we find the domain and range if we are given the equation of the function instead of the graph?
4. What happens to the domain and range if a function has vertical asymptotes?
5. How can piecewise functions affect the domain and range?

**Tip**: When determining the domain of a function from a graph, look for any vertical breaks or gaps, as these can indicate restrictions in the domain.

Determine the domain and the range of the given graph of a function.

Learn how to determine the domain and range of a function by analyzing a graph. This example covers key concepts in functions, domain, and range with visual aids. Ideal for high school students in Grades 9-12.

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