Exploring the Basics of Functions

Mr. Chen introduces the concept of functions, explaining that a function is a relationship between an input and an output where each input has exactly one output. He provides examples using a function table and a weekly allowance scenario to illustrate how functions work. The video concludes with a recap of the key points discussed.

What is a function?

• A relationship between two outputs

• A mathematical operation

• A relationship between an input and an output

• A random pairing of numbers

In the function table example, what is the output when the input is 2?

• 9

• 7

• 5

• 3

What is the output when the input is 3 in the function table example?

• 7

• 5

• 3

• 9

If you receive $20 per week as an allowance, how much will you have after 2 weeks?

• $20

• $60

• $40

• $80

How much allowance will you have after 3 weeks?

• $80

• $20

• $40

• $60

What is the output when the input is 1 in the allowance example?

• $0

• $60

• $20

• $40

What is the key characteristic of a function?

• It has random outputs

• It has no outputs

• It has exactly one output for each input

• It has multiple outputs for one input

What is the relationship between input and output in a function?

• Inputs and outputs are unrelated

• Outputs determine the inputs

• One input has exactly one output

• One input can have multiple outputs