# 4.6: Function Machines 2

Can you fill in the missing numbers in the table below? In this concept, we will learn how to follow two-part rules in order to complete function tables.

### Guidance

In order to complete function tables like the one above, we can use the problem solving steps to help.

- First,
**describe**what you see in the table. - Second, identify what
**your job**is. In these problems, your job will be to complete the table. - Third, make a
**plan**. In these problems, your plan should be to use the rules to help you to complete the table. - Fourth,
**solve**. In these problems you will solve by completing the table. - Fifth,
**check**. In these problems you will check by verifying that the addition and subtraction from the rules leads to the numbers in the out column of the table.

#### Example A

Follow the rules. Complete the table.

**Solution:**

We can use problem solving steps to help us.

**Solve:**

In |
Out |
---|---|

5 | 8 |

3 | 6 |

0 | 3 |

6 | 9 |

4 | 7 |

#### Example B

Follow the rules. Complete the table.

**Solution:**

We can use problem solving steps to help us.

**Solve:**

In |
Out |
---|---|

4 | 5 |

8 | 9 |

5 | 6 |

2 | 3 |

9 | 10 |

#### Example C

Follow the rules. Complete the table.

**Solution:**

We can use problem solving steps to help us.

**Solve:**

In |
Out |
---|---|

1 | 3 |

5 | 7 |

2 | 4 |

7 | 9 |

8 | 10 |

#### Concept Problem Revisited

We can use problem solving steps to help us.

**Solve:**

In |
Out |
---|---|

4 | 5 |

7 | 8 |

2 | 3 |

0 | 1 |

6 | 7 |

### Vocabulary

A ** function** is an example of a

**that states a relationship between two quantities. In this concept, our**

*rule***told us how to go from the in number to the out number in each table. To**

*rule***means to combine or to put together. To**

*add***means to take away. In this concept, our rules told us to add and subtract.**

*subtract*### Guided Practice

For each problem, follow the rules and complete the table.

1.

2.

3.

4.

**Answers:**

1. Here is the completed table:

In |
Out |
---|---|

4 | 8 |

6 | 10 |

3 | 7 |

1 | 5 |

5 | 9 |

2. Here is the completed table:

In |
Out |
---|---|

6 | 14 |

4 | 12 |

1 | 9 |

2 | 10 |

8 | 16 |

3. Here is the completed table:

In |
Out |
---|---|

5 | 10 |

7 | 12 |

2 | 7 |

8 | 13 |

6 | 11 |

4. Here is the completed table:

In |
Out |
---|---|

2 | 3 |

8 | 9 |

5 | 6 |

4 | 5 |

7 | 8 |

### Practice

For each problem, follow the rules and complete the table.

### Image Attributions

## Description

## Learning Objectives

Students follow two-part rules presented in words to complete two-column function tables. Students use problem solving steps to help solve the problems.