Function Rules and Function Tables

Definitions

100

For every one input, there is ______ output.

For every one input, there is ONE output.

200

What do you call a relationship between an input and output within a function?

A function rule

300

What are two different ways you can represent functions?

As a table and as a sequence.

400

What is one real life example of a function?

Vending machine, tax additions, fees, etc.

500

Can a two different inputs have the same output?

Yes. For example: $1 dollar menu can be $1 for a cheeseburger OR fries. Input is the dollar and output is the food.

Finding Output

100

If the function rule is: add one.

What would the output be if the input is x=1.

y=2

1+1=2

200

If the function rule is x-15

What would the output be for the input x=22?

y=7

22-15=7

300

If the function rule is 2x.

What would the output be if x=50?

y=100

2(50)=100

400

If the function rule is x/5

What would the output be if x=60?

y=12

60/5=12

500

If the function rule is 10x-5

What will the output be if x=20?

y=195

10(20)=200-5=195

Finding Input

100

If the function rule is add 3

What would the input be if the output is 9?

Input = 6

6+3=9

200

If the function rule is x-4

What would be the input be if y=16

x=20

20-4=16

300

If the function rule is 6x.

What would the input be if y=72

x=12

6(12)=72

400

If the function rule is x/2

What would the input be if y= 42?

x=84

84/2=42

500

If the function rule is 9x-2

What would the input be if y=7.

x=1

9(1)=9-2=7

Finding Function Rule

100

What is the function rule based on the table?

In|Out

0 | 2

1 | 3

2 | 4

3 | 5

Add 2

200

What is the function rule for this table?

x | y

0 | 0

1 | 6

2 | 12

3 | 18

Multiply by 6

300

What is the function rule for table?

x | y

2 | 18

3 | 27

4 | 36

5 | 45

Multiply by 9

400

Figure out the rule to complete the table:

In | Out

0 | -12

7 | -5

8 | -4

11 | -1

17 | 5

Subtract 12

500

What is the rule for this function table

x | y

2 | 17

3 | 27

10 | 97

11 | 107

Multiply by 10, then subtract 3

Finding Function Rule Equations

100

What is the equation or rule that represents the relationship shown in the table.

x | y

1 | 0

2 | 0

3 | 0

Equation: y=0x

200

Complete the equation that represents the relationship between s and p.

s | p

7 | 16

8 | 17

9 | 18

10| 19

p=s+9

300

Complete the equation that represents the relationship between m and s.

s | m

2 | 12

3 | 18

4 | 24

5 | 30

s=6m

400

Complete the equation that represents the relationship between m and s.

x | y

4 | 28

5 | 35

6 | 42

7 | 49

m=7t

500

Complete the equation that represents the relationship between g and c.

x | y

4 | 45

5 | 54

6 | 63

7 | 72

c=9g+9