Exploring Functions and Function Notation

What is the main purpose of using vending machines in the introduction?

• To compare different types of beverages

• To explain how vending machines work

• To show the unpredictability of machines

• To illustrate the concept of functions in mathematics

Which vending machine represents a function?

• The one that gives different drinks for the same button

• The one that sometimes gives the same drink

• The one that has more drink options

• The one that gives the same drink for each button

Why does the 'cold drinks' vending machine not represent a function?

• It only works sometimes

• It is not predictable at all

• It gives different outputs for the same input

• It has too many drink options

In function notation, what does 'f(a)' represent?

• The input value

• The output value

• The function itself

• The variable

What is the output when the input is 'button c' in the refreshments vending machine?

• Apple juice

• Water

• Skim milk

• Chocolate milk

What is another term for the input in a function?

• Domain

• Output

• Range

• Dependent variable

What is the output called in a function?

• Domain

• Range

• Independent variable

• Input

If f(x) = 4x - 7, what is f(6)?

• 17

• 24

• 1

• -1

For the function k(x) = -2x + 3, what is k(-1)?

• 5

• 1

• 0

• 3

What is h(-4) if h(x) = 1/2x + 5?

• 3

• 2

• 4

• 1