Function Machines and Inverse Operations

The video tutorial explains how to find missing input numbers for a function machine using a vertical table. It covers the basics of function machines, how they work, and the importance of using multiple inputs to verify rules. The tutorial demonstrates using inverse functions and patterns to solve for missing inputs and outputs, emphasizing multiplication and division. It concludes with practical examples of solving problems using division and inverse functions.

What is the output when a number is divided by 2 and results in 9?

• 9

• 18

• 4.5

• 2

Why is it important to test multiple inputs and outputs in a function machine?

• To ensure the rule works for all inputs

• To make the process faster

• To confuse the students

• To avoid using inverse functions

What is the purpose of using a vertical table in function machines?

• To find missing inputs and outputs

• To avoid using inverse functions

• To confuse the students

• To make the table look neat

If something times 8 equals 64, what is the missing number?

• 9

• 8

• 7

• 6

What pattern is observed in the inputs of the vertical table example?

• They increase by 3

• They remain constant

• They increase by 1

• They decrease by 2

How do you find the missing input if the output is 10 and the rule is division by 2?

• Multiply 10 by 2

• Subtract 2 from 10

• Divide 10 by 2

• Add 2 to 10

What is the inverse function of division?

• Addition

• Multiplication

• Subtraction

• Division

If the output is 8 and the rule is division by 2, what is the input?

• 14

• 16

• 20

• 18

What is the missing input if the output is 9 and the rule is division by 2?

• 18

• 22

• 20

• 16

What is the pattern observed in the outputs of the vertical table example?

• They decrease by 8

• They increase by 10

• They increase by 8

• They remain constant