Question

domain and range mapping diagrams
determine whether each diagram depicts a function or not.

1. function: ______
2. function: ______
3. function: ______
4. function: ______
5. function: ______
6. function: ______
7. function: ______
8. function: ______

Explanation:

Step1: Recall function definition

A function is a relation where every element in the domain maps to exactly one element in the range.

Step2: Check each diagram

1. Diagram 1: All domain elements map to one range element.
2. Diagram 2: All domain elements map to one range element.
3. Diagram 3: Domain element 6 maps to two range elements (7 and 8).
4. Diagram 4: Domain element 6 maps to two range elements (7 and 8).
5. Diagram 5: All domain elements map to one range element.
6. Diagram 6: All domain elements map to one range element.
7. Diagram 7: Domain element 0 maps to two range elements (2 and 6).
8. Diagram 8: Domain element 3 maps to two range elements (1 and 5).

Answer:

1. Function: Yes
2. Function: Yes
3. Function: No
4. Function: No
5. Function: Yes
6. Function: Yes
7. Function: No
8. Function: No