1. Function Tables

3. VOCABULARY
A function is a relation that assigns exactly one output value to one input value. The output depends on the input. The function rule describes the relationship between each input and output. You can organize the input-output values and the function rule in a function table.
In a function, the input value is also known as the independent variable, since it can be any number you choose. The value of the output depends upon the input value, so the output value is known as the dependent variable.

4. Input
Independent variable
X values
Output
Dependent variable
Y values

5. Input Output 1 6 2 7 3 8 4 9 Instructions:
Look at the input value and determine what rule applies to get the output value.
Input
Output 1 6 2 7 3 8 4 9

6. Rule : add 5, n+5

7. Input
Output 1 3 2 6 9 4 12

8. RULE: multiply by 3, 3n or 3 • n Good job. Keep going.

9. Input
Output 1 10 2 20 3 30 4 40

10. Rule:
multiply by 10,
10 • n or 10n

11. Input
Output 4 2 7 5 10 8 30 28

12. Rule: subtract 2 or n - 2

13. Input
Output 16 8 24 28 20 60 52

14. Rule: Subtract 8, or n - 8

15. Input
Output 5 50 8 80 20
200
100
1,000

16. Rule: multiply by 10;
10 • n, or 10n

17. Try more examples on this website:
unctiontable4l.cfm

19. Solution: You can see that you obtain each output by adding 5 to the input. Answer: The function rule given by the table is b = a + 5

20. How can a function table help you find the input or the output?
When data is organized, we can use the function rule and the input to find the output or work backward using the output and the function rule to find the input.

21. B. IS NOT A FUNCTION! Why not?
Are they functions? A B.
B. IS NOT A FUNCTION! Why not?
input x 1 3 5 7
Output y 2 4 6
Input a 2 4 6
Output b 1 8 5

22. The End.
Great Job!