Finding Missing Input Numbers for a Function Machine Using a Vertical Table

The video tutorial explains how to find missing inputs and outputs in a function machine using vertical tables. It covers the concept of function machines, the application of rules, and the importance of using multiple inputs to verify rules. The tutorial also delves into inverse functions, demonstrating how multiplication and division can be used to solve for unknowns. Patterns in numbers are highlighted as a key tool for understanding and verifying the function machine's operations.

What is the primary function of a function machine?

• To divide numbers

• To subtract numbers

• To apply a specific rule to an input

• To add numbers

What is the purpose of using a vertical table in this lesson?

• To list numbers in ascending order

• To find missing inputs and outputs

• To organize data horizontally

• To calculate averages

How do you determine the missing input if the output is 64 and the rule is multiplication by 8?

• Divide 64 by 8

• Multiply 64 by 8

• Add 8 to 64

• Subtract 8 from 64

What pattern is observed in the inputs when using a multiplication rule?

• Inputs decrease by 2

• Inputs remain constant

• Inputs increase by 1

• Inputs increase by 3

If a number divided by 2 results in 10, what is the original number?

• 25

• 20

• 18

• 15

What is the inverse function of division?

• Addition

• Subtraction

• Multiplication

• Division

How do the outputs change when the rule is division by 2?

• They increase by 1

• They decrease by 1

• They remain constant

• They double