1. AKA – Input/output tables
Function Tables
AKA – Input/output tables

2. Identify the rule for getting from x (input) to the y (output).
Objective:
Identify the rule for getting from x (input) to the y (output).

3. Question: How do I identify rules?

4. Answer:
Ask yourself “Is my number getting larger or smaller when I move from the x to the y?”
Larger – How can I make a number bigger?
Smaller – How can I make a number smaller?

5. Larger – Add or multiply Smaller – Subtract or divide
Answer:
Larger – Add or multiply
Smaller – Subtract or divide

6. What do I do if that does not work?
This means that it isn’t a one step rule
Now you need to try two step rules!
To get larger - Start by multiplying by 2 and then add or subtract to get to the number. See if that rule work for the next input/output. If not, move to multiplying by 3, 4, 5….

7. What do I do if that does not work?
To get smaller - Start by dividing by 2 (same as multiplying by ½) and then add or subtract to get to the number. See if that rule work for the next input/output. If not, move to dividing by 3, 4, 5….

8. Question 1
X (input)
Y (output) 1 4 3 12 5 20 7 ?

9. Question 2
X (input)
Y (output) 1 8 4 11 7 ? 10 17

10. Question 3
X (input)
Y (output) 26 23 25 22 24 21 ?

11. Question 4
X (input)
Y (output)
100 20 85 17 70 14 55 ?

12. Question 5
X (input)
Y (output) 8 13 6 9 4 5 2 ?

13. Question 6
X (input)
Y (output) 1 4 13 7 22 10 ?

14. Question 7
X (input)
Y (output) 2 4 3 6 33 ?

15. Question 8
X (input)
Y (output) -1 1 3 7 ?

16. Did you know that you can graph this data?

17. Take 3-4 minutes to discuss with a partner, how you can graph functions.