# 3.6: Function Machines

Difficulty Level: At Grade Created by: CK-12

Function Machines – Complete one-step function tables

For these problems, students follow rules presented in words and with symbols to complete two-column function tables. Each of the rules requires one computational step. Problems 1-8 use addition. Problems 9 – 12 use subtraction.

Solutions

1.

In Out
2 3
6 7
0 1
8 9
4 5

2.

In Out
4 7
5 8
1 4
2 5
7 10

3.

In Out
1 6
4 9
5 10
3 8
2 7

4.

In Out
6 10
0 4
3 7
4 8
5 9

5.

In Out
7 9
5 7
8 10
3 5
6 8

6.

In Out
5 9
2 6
6 10
8 12
3 7

7.

In Out
0 6
6 12
2 8
3 9
4 10

8.

In Out
2 9
7 14
1 8
5 12
3 10

9.

In Out
5 4
3 2
7 6
4 3
9 8

10.

In Out
7 5
3 1
8 6
6 4
5 3

11.

In Out
6 1
10 5
8 3
7 2
9 4

12.

In Out
5 2
8 5
4 1
3 0
7 4

\begin{aligned}& \mathbf{Describe:} && \text{The box is an} \ \mathbf{Add \ 2} \ \text{machine. The table has} \ \mathbf{IN} \ \text{numbers and} \ \mathbf{OUT}\\ &&& \text{numbers. Some OUT numbers are missing.}\\ & \mathbf{My \ Job:} && \text{Fill in the other OUT numbers.}\\ & \mathbf{Plan:} && \text{Add} \ 2 \ \text{to each} \ \mathbf{IN} \ \text{number to get the} \ \mathbf{OUT} \ \text{number.}\\ & \mathbf{Solve:}\end{aligned}

In Out
1 3
4 6
3 5
0 2
5 7

\begin{aligned}& \mathbf{Check:} && \text{Start with the IN number. Count up:} \ 4, 5, 6\\ &&& \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \ \ 3, 4, 5\\ &&& \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \ \ 0, 1, 2\\ &&& \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \ \ 5, 6, 7\end{aligned}

Follow the rules. Complete the tables.

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