https://file.aiquickdraw.com/mathbot/file/1725585128399vf8c9iob.jpg

To determine whether each graph represents a function, we can use the **vertical line test**. If a vertical line intersects the graph at more than one point anywhere, the graph does not represent a function.

Let's analyze each graph:

1. **Graph 1**:
   - A vertical line at any point will only intersect the graph once.
   - **Result**: **Yes**, this is a function.

2. **Graph 2**:
   - A vertical line at the peak or base of the triangle will intersect the graph twice.
   - **Result**: **No**, this is not a function.

3. **Graph 3**:
   - A vertical line at the widest part of the ellipse intersects the graph at two points.
   - **Result**: **No**, this is not a function.

4. **Graph 4**:
   - A vertical line anywhere will only intersect the graph once.
   - **Result**: **Yes**, this is a function.

5. **Graph 5**:
   - A vertical line at several points (e.g., x = 1) will intersect the graph more than once.
   - **Result**: **No**, this is not a function.

6. **Graph 6**:
   - A vertical line at x = 0 intersects the graph at three points.
   - **Result**: **No**, this is not a function.

### Summary:
- Graph 1: **Yes**
- Graph 2: **No**
- Graph 3: **No**
- Graph 4: **Yes**
- Graph 5: **No**
- Graph 6: **No**

Would you like more details about any specific graph or concept? 

### Related Questions:
1. What is the vertical line test, and why does it work to determine if a graph is a function?
2. Can you explain the difference between a relation and a function?
3. How can you identify functions algebraically?
4. What are some examples of common functions and their graphs?
5. How do you determine the domain and range of a function from a graph?

### Tip:
Remember that functions have a unique output for each input. If any input maps to more than one output, it's not a function!

For each graph below, state whether it represents a function.

Learn how to determine whether a graph represents a function by applying the vertical line test. This analysis includes six graphs, with explanations on whether they pass or fail the test. Suitable for students in Grades 7-10.

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