Identifying Functions worksheet with graphs, tables, and ordered pairs to classify as functions or non-functions.

To solve the problem of identifying functions and non-functions, we need to use the vertical line test. The vertical line test states that a graph represents a function if and only if every vertical line intersects the graph at most once. If any vertical line intersects the graph more than once, then the graph does not represent a function (i.e., it is a non-function).

Step-by-Step Solution:

1. Understand the Task:
- We need to identify which graphs are functions and which are not.
- Use two different colors to distinguish between functions and non-functions.

2. Apply the Vertical Line Test:
- For each graph, imagine drawing vertical lines across the entire graph.
- Check if any vertical line intersects the graph more than once.
- If a vertical line intersects the graph more than once, the graph is not a function.
- If every vertical line intersects the graph at most once, the graph is a function.

3. Analyze Each Graph:

#### Graph 1:
- This is a parabola opening upwards.
- A vertical line will intersect the parabola at most once.
- Conclusion: Function.

#### Graph 2:
- This is a straight line.
- A vertical line will intersect the line at most once.
- Conclusion: Function.

#### Graph 3:
- This is a set of discrete points.
- No vertical line can intersect more than one point.
- Conclusion: Function.

#### Graph 4:
- This is a circle.
- A vertical line can intersect the circle at two points.
- Conclusion: Non-function.

#### Graph 5:
- This is a set of discrete points.
- No vertical line can intersect more than one point.
- Conclusion: Function.

#### Graph 6:
- This is a parabola opening downwards.
- A vertical line will intersect the parabola at most once.
- Conclusion: Function.

#### Graph 7:
- This is a set of discrete points.
- No vertical line can intersect more than one point.
- Conclusion: Function.

#### Graph 8:
- This is a horizontal line.
- A vertical line will intersect the line at most once.
- Conclusion: Function.

#### Graph 9:
- This is a set of discrete points.
- No vertical line can intersect more than one point.
- Conclusion: Function.

#### Graph 10:
- This is an ellipse.
- A vertical line can intersect the ellipse at two points.
- Conclusion: Non-function.

4. Color Coding:
- Use one color for all the functions.
- Use another color for all the non-functions.

Final Answer:

- Functions: Graphs 1, 2, 3, 5, 6, 7, 8, 9
- Non-functions: Graphs 4, 10

\[
\boxed{\text{Functions: 1, 2, 3, 5, 6, 7, 8, 9; Non-functions: 4, 10}}
\]