1. Relations and Functions

2. YES!
NO!

3. Is this relation a function?!

4. Is this relation a function?!
YES!
Each x-value has a unique y-value.

5. Input/Output Mapping Domain = {1,2,3,4} Range = {4,8,12,16}
Domain = {1,2,3,4}
Range = {4,8,12,16}

6. Is this relation a function?!

7. Is this relation a function?!X Y 1 2 4 3
NO!
The same x-value appears more than once!

8. Input/Output Mapping Domain = {0,2,4} Range = {1,2,3,4} Input Output 4
Domain = {0,2,4}
Range = {1,2,3,4}
Input 2 is mapped to both 2 and 4.

9. Are the graphs functions?!
Hint: Use the VLT! If a vertical line passes through a graph more than once, the graph is NOT the graph of a function.

10. (4,4)
(-3,3)
(1,1)
(1,-2)

11. (-3,3)
(1,1)
(3,1)
(4,-2)