Function Tables

1
Function Tables

• AKA Input/output tables

2
Objective

• Identify the rule for getting from x (input) to
  the y (output).

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QuestionHow 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?

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Answer

• Larger Add or multiply
• Smaller Subtract or divide

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What do I do if that does not work?

• This means that it isnt 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.

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

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

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

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

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

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

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

15
Question 8
X (input) Y (output)
-1 -1
0 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.