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Function Tables

Function Tables. Complete a function table Function Rule + 4 Output

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Page 1: Function Tables. Complete a function table Function Rule + 4 Output

Function Tables

Page 2: Function Tables. Complete a function table Function Rule + 4 Output
Page 3: Function Tables. Complete a function table Function Rule + 4 Output

Complete a function table

Function Rule

+ 4

+ 4+ 4

Output

Page 4: Function Tables. Complete a function table Function Rule + 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

Page 5: Function Tables. Complete a function table Function Rule + 4 Output

What’s the output?

X 2

X 2

X 2

0

10

4

Page 6: Function Tables. Complete a function table Function Rule + 4 Output

What’s the output?

+ 4

+ 4

+ 4

14

16

18

Page 7: Function Tables. Complete a function table Function Rule + 4 Output

Find the function rule

X 3X 3X 3

Keep in mind – the rule MUST be the same for EVERY input.

Page 8: Function Tables. Complete a function table Function Rule + 4 Output

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

Page 9: Function Tables. Complete a function table Function Rule + 4 Output

“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

Page 10: Function Tables. Complete a function table Function Rule + 4 Output

“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

Page 11: Function Tables. Complete a function table Function Rule + 4 Output

Find the function rule

Input (x) Output ( ? )8 239 2610 2911 32

3x - 1

Page 12: Function Tables. Complete a function table Function Rule + 4 Output

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

Page 13: Function Tables. Complete a function table Function Rule + 4 Output

Sister (s) Ricardo

1 9

2 10

3 11

4 12

S ?

Rule is S + 8

Sister (s) Ricardo