Worksheet on determining if mapping diagrams represent functions.

To determine whether each diagram represents a function, we need to check if every element in the domain (the left set) is mapped to exactly one element in the range (the right set). If any element in the domain is mapped to more than one element in the range, then the diagram does not represent a function.

Let's analyze each diagram step by step:

Diagram 1:

- Domain: {0, 1, 2, 5, 6}
- Range: {5, 6, 7, 8}
- Each element in the domain is mapped to exactly one element in the range.
- Conclusion: Function

Diagram 2:

- Domain: {2, 3, 4, 6, 9}
- Range: {0, 4, 6}
- Each element in the domain is mapped to exactly one element in the range.
- Conclusion: Function

Diagram 3:

- Domain: {2, 8, 9}
- Range: {2, 5, 7, 8}
- The element "2" in the domain is mapped to both "2" and "5" in the range.
- Conclusion: Not a Function

Diagram 4:

- Domain: {0, 1, 4, 9}
- Range: {2, 3, 6, 8, 9}
- Each element in the domain is mapped to exactly one element in the range.
- Conclusion: Function

Diagram 5:

- Domain: {1, 2, 4, 5, 9}
- Range: {2, 3, 7, 9}
- Each element in the domain is mapped to exactly one element in the range.
- Conclusion: Function

Diagram 6:

- Domain: {0, 6, 8}
- Range: {2, 5, 6, 7, 8}
- Each element in the domain is mapped to exactly one element in the range.
- Conclusion: Function

Diagram 7:

- Domain: {1, 2, 8}
- Range: {0, 4, 5, 8, 9}
- Each element in the domain is mapped to exactly one element in the range.
- Conclusion: Function

Diagram 8:

- Domain: {0, 2, 4, 7}
- Range: {3, 6, 9}
- Each element in the domain is mapped to exactly one element in the range.
- Conclusion: Function

Final Answers:

1. Function
2. Function
3. Not a Function
4. Function
5. Function
6. Function
7. Function
8. Function

$$
\boxed{\text{Function, Function, Not a Function, Function, Function, Function, Function, Function}}
$$