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Function Tables
Complete a function table
Function Rule
+ 4
+ 4+ 4
Output
Complete the table……
Input (x) = 2, 5, 8
Function Rule =What you DO to x?
X - 2
Output (y)= 0, 3, 6
- 2- 2- 2
0
36
What’s the output?
X 2
X 2
X 2
0
10
4
What’s the output?
+ 4
+ 4
+ 4
14
16
18
Find the function rule
X 3X 3X 3
Keep in mind – the rule MUST be the same for EVERY input.
Find the function ruleWhat do you do to x (the input)
to get to y (the output)?
?
÷ 4- 3
?
-12÷ 4
÷ 4
Function Rule is x ÷ 4
“Combination” rules• Rules that have x or ÷ AND + or -
Input(x) Output ( ? )
5 17
7 23
9 29
11 35
Basic + or – won’t workBasic x or ÷ won’t work
SO
Start with multiplying by 2 then adding or subtracting until you reach the output.
Do this for the second output – does it work?
X 2 + 7
X 2 + 7
OK
NOT 23
“Combination” rules• Rules that have x or ÷ AND + or -
Input(x) Output ( ? )
5 17
7 23
9 29
11 35
If 2 doesn’t work, then try multiplying by 3 and then adding or subtracting until you reach the output.X 3 + 2
X 3 + 2Try the same rule for the following outputs. If it works for ALL the outputs, then it’s the rule! If not, then try 4, 5, 6 and so on until you find one that works for all the outputs.
X 3 + 2
X 3 + 2
The rule is 3x + 2
Find the function rule
Input (x) Output ( ? )8 239 2610 2911 32
3x - 1
Real world situation• Use a variable to represent the input – called
“Defining the variable”
Set up a table with the 2 things you are comparing hours (x ) Dollars
1 $70
2 $140
X ?
So the function rule is 70X
Sister (s) Ricardo
1 9
2 10
3 11
4 12
S ?
Rule is S + 8
Sister (s) Ricardo