https://file.aiquickdraw.com/mathbot/file/1727445085013gvzbyin1.jpg

The graph in the image shows part of a function with a curved line starting from the point \( (2, -6) \) and increasing as \( x \) increases, with the upper end at approximately \( (7, 9) \).

### 1. **Domain:**
The domain refers to all the \( x \)-values for which the function is defined. In this case, the curve begins at \( x = 2 \) and continues to \( x = 7 \), inclusive. Therefore, the domain can be expressed as:
\[
2 \leq x \leq 7
\]

### 2. **Range:**
The range refers to all the \( y \)-values the function can take. From the graph, the lowest point is at \( y = -6 \), and the highest point is \( y = 9 \). Hence, the range is:
\[
-6 \leq y \leq 9
\]

### Summary:
- **Domain**: \( 2 \leq x \leq 7 \)
- **Range**: \( -6 \leq y \leq 9 \)

Would you like more details on how to interpret domains and ranges for other types of graphs?

Here are 5 related questions you might find helpful:
1. How do you find the domain of a function from its equation?
2. What are the different notations for expressing domain and range?
3. How does the shape of the graph (e.g., linear, quadratic) affect its domain and range?
4. What is the domain and range for a vertical line?
5. How do you find the range of a function if the graph is not provided?

**Tip**: When identifying the domain, look at the horizontal extent of the graph (left to right), and for the range, check the vertical extent (bottom to top).

Determine the domain and range of the graph in question 2 using inequalities.

Learn how to determine the domain and range of a function by analyzing the graph. This problem involves identifying the horizontal and vertical extents of the graph to express domain and range using inequalities. Suitable for students in Grades 6-9.

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