https://file.aiquickdraw.com/mathbot/file/17265024449414af6kqye.jpg

Let's analyze each graph and determine the domain and range.

### Graph 1:
- **Domain**: The x-values covered by the graph are from \(-3\) to \(7\). The graph does not extend beyond these points.
  - **Domain**: \([-3, 7]\)
  
- **Range**: The y-values extend from the minimum point at \(-4\) (the red point) to a maximum value of \(4\).
  - **Range**: \([-4, 4]\)

### Graph 2:
- **Domain**: The graph extends horizontally from \(x = -2\) to \(x = \infty\) (it goes infinitely to the right).
  - **Domain**: \([-2, \infty)\)
  
- **Range**: The y-values go from \(-1\) to \(5\), covering this vertical range.
  - **Range**: \([-1, 5]\)

### Graph 3:
- **Domain**: The graph starts from \(x = -\infty\) and extends to \(x = 4\), as indicated by the open circle at \(x = 4\), meaning it doesn't include 4.
  - **Domain**: \((-\infty, 4)\)
  
- **Range**: The y-values go from \(y = 0\) (which is excluded due to the open circle) to \(y = 18\) and beyond, extending infinitely downward.
  - **Range**: \((-\infty, 18)\)

### Summary:
1. **Graph 1**:
   - Domain: \([-3, 7]\)
   - Range: \([-4, 4]\)
2. **Graph 2**:
   - Domain: \([-2, \infty)\)
   - Range: \([-1, 5]\)
3. **Graph 3**:
   - Domain: \((-\infty, 4)\)
   - Range: \((-\infty, 18)\)

Would you like more details or have any questions?

### Related Questions:
1. How do we identify the domain of a function from a graph?
2. What are the conditions that define an open or closed range in a graph?
3. How do we identify asymptotes or limits in a graph?
4. What types of functions correspond to these graphs?
5. How does the behavior of a graph affect its range?

### Tip:
Always check for open or closed points when determining the range and domain—they indicate whether a value is included or excluded from the set.

Learn how to find the domain and range of three different graphs, including quadratic and rational functions. This tutorial breaks down the x-values and y-values of each graph to help students identify domain and range.

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