Input-Output Relationships in Functions

The video tutorial introduces the concept of input-output tables and explains how to interpret data to generate number patterns following specific rules. It covers the basics of input and output, identifying patterns, and applying rules such as addition, multiplication, subtraction, and division. The tutorial includes various examples to illustrate these concepts and emphasizes the importance of verifying rules through problem-solving.

What does it mean to interpret data from an input-output table?

• To look at data and understand its meaning

• To create new data from scratch

• To delete the data

• To ignore the data

In the analogy used, what does the caterpillar turning into a butterfly represent?

• The process of subtraction

• The process of multiplication

• The process of input becoming output

• The process of division

What is the output when the input is 3 in the basic example?

• 5

• 7

• 6

• 4

If the input is 4 and the output is 6, what is the rule?

• Subtract 2

• Add 2

• Multiply by 2

• Add 1

What operation is likely used if the input is 7 and the output is 14?

• Division

• Multiplication

• Addition

• Subtraction

If the input is 12 and the output is 9, what operation is used?

• Division

• Multiplication

• Subtraction

• Addition

What is the rule if the input is 21 and the output is 7?

• Add 14

• Subtract 14

• Multiply by 3

• Divide by 3

What should you do if the input-output table does not show the process?

• Work the problems on the side

• Guess the process

• Ignore the table

• Use a calculator

If the input is 8 and the output is 24, what is the rule?

• Divide by 3

• Subtract 16

• Multiply by 3

• Add 16

What is the output if the rule is 'times 5' and the input is 6?

• 30

• 35

• 40

• 45