To determine if each graph represents a function, we apply the vertical line test: if any vertical line drawn through the graph intersects it at more than one point, then the graph does not represent a function.

Let's analyze each graph:

1. Graph 1:

   • This is a scatter plot of points.
   • Some vertical lines (e.g., $x = 0$) would pass through two points.
   • Not a function.

2. Graph 2:

   • It consists of line segments and individual points.
   • No vertical line would intersect the graph more than once.
   • Function.

3. Graph 3:

   • This is a circle.
   • A vertical line would intersect the circle at two points in most places.
   • Not a function.

4. Graph 4:

   • This appears to be a sideways parabola (opens horizontally).
   • A vertical line would intersect the graph at two points in some places.
   • Not a function.

5. Graph 5:

   • This is a V-shaped graph, likely an absolute value function.
   • Any vertical line intersects the graph at most once.
   • Function.

6. Graph 6:

   • This is another scatter plot of points.
   • A vertical line could pass through more than one point at certain places (e.g., $x = 2$).
   • Not a function.

Final answers:

• Graph 1: No
• Graph 2: Yes
• Graph 3: No
• Graph 4: No
• Graph 5: Yes
• Graph 6: No

Would you like a more detailed explanation of any of these graphs?

Follow-up questions:

1. What is the vertical line test, and how does it apply to functions?
2. Why do circles fail the vertical line test?
3. Can a scatter plot represent a function?
4. How do line segments or piecewise functions impact the vertical line test?
5. What makes a sideways parabola different from a regular one in terms of function representation?

Tip: The vertical line test is a quick and reliable way to check whether a graph represents a function, saving time in analysis.