Function Machines and Operations

The video tutorial introduces function machines, explaining how inputs are processed to produce outputs. It covers examples of function machines, including working backwards to find inputs from given outputs. The tutorial also demonstrates how to identify missing elements in function machines and solve exam questions using these concepts.

What is a function machine?

• A machine that only adds numbers

• A set of processes that transform an input to an output

• A tool for measuring distances

• A device that calculates square roots

In the first example, what is the output when the input is 3?

• 12

• 6

• 15

• 9

What operation is performed first in the first function machine example?

• Divide by 3

• Add 3

• Subtract 2

• Multiply by 2

In the second example, what is the output when the input is 5?

• 30

• 25

• 20

• 15

What is the first operation in the second function machine example?

• Multiply by 3

• Add 5

• Subtract 2

• Divide by 2

When working backwards, what is the first step if the output is 4?

• Multiply by 3

• Divide by 3

• Add 2

• Subtract 2

In the first working backwards example, what is the input if the output is 10?

• 8

• 6

• 4

• 2

In the second working backwards example, what is the input if the output is 1?

• 0

• -6

• -2

• -3

What is the first operation to reverse in the second working backwards example?

• Add 4

• Subtract 4

• Divide by 2

• Multiply by 2

What operation is missing if the output is 6 and the last operation is add 2?

• Add 4

• Subtract 2

• Multiply by 2

• Multiply by 3