To determine whether each graph represents a function, we use the Vertical Line Test. A graph represents a function if and only if no vertical line intersects the graph at more than one point.

Here’s the evaluation for each graph:

1. Graph 1:

   • Multiple points along the vertical lines (e.g., $x = -2, x = 0, x = 2$).
   • Not a function.

2. Graph 2:

   • Each vertical line intersects the graph at exactly one point.
   • Yes, this is a function.

3. Graph 3:

   • A vertical line intersects the circle in two places.
   • Not a function.

4. Graph 4:

   • The vertical line test confirms one intersection per vertical line.
   • Yes, this is a function.

5. Graph 5:

   • Multiple intersections occur along $x = -2$ and $x = 2$.
   • Not a function.

6. Graph 6:

   • At $x = 1$, there are multiple points on different $y$-values.
   • Not a function.

Let me know if you'd like further details, visual explanations, or clarifications!

Related Questions:

1. What is the Vertical Line Test, and why does it work?
2. How do domain and range relate to the concept of a function?
3. Can a graph with gaps still be considered a function?
4. What is the difference between one-to-one functions and general functions?
5. How can piecewise graphs pass or fail the function test?

Tip:

Always remember that for a graph to represent a function, every input $x$ must correspond to exactly one output $y$.