Function Notation and Applications

This video introduces functions, explaining them as rules that assign specific outputs to inputs. It uses examples like cell phone costs, cable bills, taxi fares, and theme park rides to illustrate function concepts, including domain and range. The video also covers function notation and the relationship between inputs and outputs.

What is a function in mathematical terms?

• A process that does not involve inputs and outputs

• A machine that produces random outputs

• A rule that assigns a specific output for every input

• A rule that assigns multiple outputs for each input

In the prepaid cell phone example, what is the output if the input is 200 minutes?

• $20

• $25

• $30

• $35

What is the function notation for the equation Y = 0.15X?

• X = 0.15F(Y)

• Y = F(X) + 0.15

• F(X) = 0.15X

• F(X) = 0.15

In function notation, what does F(100) = 15 represent?

• A point where X is 200 and Y is 30

• A point where X is 15 and Y is 200

• A point where X is 100 and Y is 15

• A point where X is 15 and Y is 100

What is the fixed cost in the cable bill function example?

• $60

• $70

• $50

• $80

How is the total cost of the cable bill calculated?

• Fixed cost plus $4 per movie

• Fixed cost plus $2 per movie

• Fixed cost plus $5 per movie

• Fixed cost plus $3 per movie

What is the domain of the taxi fare function?

• All numbers greater than 4

• All numbers less than 0

• All numbers greater than or equal to 0

• All numbers less than or equal to 4

What is the range of the taxi fare function?

• Y is less than or equal to 0

• Y is equal to 0

• Y is less than 4

• Y is greater than or equal to 4

In the theme park example, what is the cost to enter the park?

• $3

• $4

• $5

• $6

What is the pattern of the range in the theme park example?

• Prime numbers greater than 5

• Multiples of 5

• Even numbers greater than 5

• Odd numbers greater than or equal to 5