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11.02 Function machines

Worksheet
Function machines
1

For the following, state what part of the function machine the number represents:

a

The number 8 in 8 \longrightarrow +4 \longrightarrow 12

b

The number 2 in 6 \longrightarrow -4 \longrightarrow 2

c

The number -3 in 5 \longrightarrow -3 \longrightarrow 2

d

The number 8 in 8 \longrightarrow -10 \longrightarrow -2

2

Consider the following function machine:

2 \longrightarrow +1 \longrightarrow ?

a

Find the output of the function machine.

b

Find the new output if the input was changed to 7.

3

Consider the following function machine:

7 \longrightarrow -1 \longrightarrow ??

a

Find the output of the function machine.

b

Find the new output if the input was changed to 4.

4

Consider the following function machine:

5 \longrightarrow ? \longrightarrow 7

a

State the operation used in the function machine.

b

If we reverse the direction of the function machine, 7 being the input and 5 being the output, find the new operation of the function machine.

5

Consider the following function machine:

4 \longrightarrow ? \longrightarrow 3

a

State the operation used in the function machine.

b

If we reverse the direction of the function machine, 3 being the input and 4 being the output, find the new operation of the function machine.

6

Consider the following function machine:

? \longrightarrow +5 \longrightarrow 12

a

Find the input of the function machine.

b

If the output was 11, find the new input of the function machine.

7

Consider the following function machine:

? \longrightarrow -4 \longrightarrow 4

a

Find the input of the function machine.

b

If the output was 5, find the new input of the function machine.

8

Consider the following function machine:

? \longrightarrow \times2 \longrightarrow 6

a

Find the input of the function machine.

b

If the output was 8, find the new input of the function machine.

9

Consider the following function machine which shows two operations being performed on the input number:

3 \longrightarrow \times3 \longrightarrow +2 \longrightarrow ?

Find the output of the function machine after the two operations.

10

A student put three different numbers into the function machine below, and received three different outputs.

\begin{aligned} 2 \longrightarrow ? \longrightarrow 4\\ 3 \longrightarrow ? \longrightarrow 5\\ 4 \longrightarrow ? \longrightarrow 6 \end{aligned}

Find the operation of the function machine.

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