https://file.aiquickdraw.com/mathbot/file/1725659186919cy27h6pw.jpg

From the image, we can see that the question is asking to determine the domain and range of a given function, which is displayed as a graph. You have already entered a domain, \([1, 6]\), but the response indicates that it might not be fully correct.

### Let's analyze the function visually:

#### **Domain**:
The domain of a function represents the set of all possible \(x\)-values for which the function is defined. From the graph:
- The function starts at \(x = 0\) (because the leftmost point seems to be on \(x = 0\)).
- The function extends until \(x = 6\) (the rightmost point on the graph).

Thus, the domain is \([0, 6]\), which includes all \(x\)-values from 0 to 6.

#### **Range**:
The range of a function represents the set of all possible \(y\)-values the function attains.
- The lowest point of the graph appears to be around \(y = 0\).
- The highest point seems to be around \(y = 4\).

So, the range of the function is \([0, 4]\), covering all \(y\)-values from 0 to 4.

### Correct answers:
- **Domain**: \([0, 6]\)
- **Range**: \([0, 4]\)

Would you like further details or have any additional questions about this? 

### Related Questions:
1. What happens to the domain if the graph has a vertical asymptote?
2. How would the range change if there was a discontinuity in the graph?
3. Can you determine the domain of a function if given only an equation, not a graph?
4. How would you write the domain and range if the graph had open endpoints?
5. What types of functions have an infinite domain or range?

### Tip:
For graphical problems, always pay close attention to whether the graph includes the endpoints or not, as this can affect whether the interval is open or closed.

Determine the domain and range of the function.

Learn how to determine the domain and range of a function by analyzing a graph. This problem covers core mathematical concepts such as identifying the domain and range, and provides a detailed step-by-step solution. Suitable for students in Grades 7-9.

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