These are the answers The domain of the function is all real numbers greater than or equal to 0 and less than or equal to 8.

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The range of the function is all real numbers greater than or equal to 0 and less than or equal to 110.

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The domain of the function is all real numbers greater than or equal to 0.

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The domain of the function is all real numbers greater than or equal to 0 and less than or equal to 110.

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The range of the function is all real numbers greater than or equal to 0 and less than or equal to 8.

Let's match the correct domain and range from the provided answer choices based on our analysis.

### Analysis Recap

- **Domain**: The domain represents the number of hours Ava can work in a day, which is between 0 and 10 hours. Therefore, the domain should be all real numbers from 0 to 10. However, if the options are limited, we'll choose the closest option.
- **Range**: The range represents Ava's earnings, which are between $0 (0 hours) and $80 (10 hours). So, the range should be all real numbers from 0 to 80. Again, we'll choose the closest option if exact matches are not available.

### Provided Answer Choices

1. **The domain of the function is all real numbers greater than or equal to 0 and less than or equal to 8.**
   - This is **incorrect** because the domain should include all values up to 10, not just 8.

2. **The range of the function is all real numbers greater than or equal to 0 and less than or equal to 110.**
   - This is **incorrect** because the maximum earnings are $80, not $110.

3. **The domain of the function is all real numbers greater than or equal to 0.**
   - This is **incorrect** because the domain is limited to a maximum of 10 hours.

4. **The domain of the function is all real numbers greater than or equal to 0 and less than or equal to 110.**
   - This is **incorrect** because the domain (hours worked) should be between 0 and 10, not up to 110.

5. **The range of the function is all real numbers greater than or equal to 0 and less than or equal to 8.**
   - This is **incorrect** because the range of earnings should be from 0 to 80 dollars, not just up to 8.

### Conclusion

After reviewing all the options, it appears none of the provided answers accurately describe the correct domain and range as per the graph's context. The closest options based on the numbers provided in the problem are:

- The domain should be all real numbers from 0 to 10, which is not exactly listed.
- The range should be all real numbers from 0 to 80, which is also not listed.

Since none of the answers perfectly match, double-check the problem details for possible typographical errors or additional instructions. 

Would you like more details or have any questions?

Here are 5 more related questions that might interest you:
1. How do you interpret intervals on a graph to determine a function's domain and range?
2. How can you calculate the range if you only know the maximum hours and pay rate?
3. Why is understanding domain and range important in real-world scenarios?
4. What changes to the graph would alter the domain or range?
5. How do you identify errors in given domain and range options in multiple-choice questions?

**Tip**: When checking for domain and range in multiple-choice questions, carefully read each option to see if it matches the real-world constraints and limits given by the problem.

Explore the concept of domain and range in functions with a detailed analysis of a real-world problem. Learn how to determine the correct domain and range based on given constraints and understand the implications of these concepts in mathematical modeling. Suitable for high school students.

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