Interpret Domain and Range of Functions

All of the x values or inputs are called what?

• Domain

• Range

• Relation

• Function

All of the y values or outputs are called what?

• Domain
• Range
• Relation
• Function

Thomas has 400 candy bars in his shop, and each costs $0.50. The function p(b) = 0.50b represents the total cost, p(b), in dollars, for purchasing b candy bars.

Which of the following describes the domain?

• Total cost

• Number of candy bars

Thomas has 400 candy bars in his shop, and each costs $0.50. The function p(b) = 0.50b represents the total cost, p(b), in dollars, for purchasing b candy bars.

Which of the following number sets describes the domain?

• {0, 1, 2, 3,..., 200} - whole numbers between 0 and 200

• {0, 1, 2, 3,..., 400} - whole numbers between 0 and 400

• All real numbers

Thomas has 400 candy bars in his shop, and each costs $0.50. The function p(b) = 0.50b represents the total cost, p(b), in dollars, for purchasing b candy bars.

Which of the following describes the range?

• Total cost

• Number of candy bars

• Price per candy bar

A company uses the function f(x) = 20x – 500 to calculate profit or loss, where x is the number of products sold. Which of the following describes the domain?

• The number of products sold

• The profit for the company

• The price to manufacture each product

A company uses the function f(x) = 20x – 500 to calculate profit or loss, where x is the number of products sold. What is the most appropriate domain of the function?

• All integers

• All Real Numbers

• All non-negative integers

• All non-negative rational numbers

Jamie plans to save $40 a week to purchase new AirPods. The function f(x) = 160 – 40x models the amount of money that Jamie will need to purchase the AirPods x weeks after she starts saving. What does the domain represent?

• The amount of money saved

• The number of weeks Jamie saves money

• The amount saved weekly

The function f(x) = 45x + 6 can be used to determine the cost for a person to purchase x tickets to a concert. A person can purchase up to 8 tickets. What is the appropriate domain for the function?

• {0, 1, 2, 3,..., 8} - whole numbers less than or equal to 8

• {1, 2, 3,..., 8} - positive integers less than or equal to 8

• All positive real numbers less than or equal to 8

Shawn had a summer job that paid $10.00 per hour. He will work between 20 and 30 hours. His weekly salary can be modeled by S(h) = 10h where S(h) is the weekly salary and h is the number of hours he worked in a week.

What would be the domain in this problem?

• Rational numbers including and between 20 and 30

• Rational numbers including and between 10 and 20

• Multiples of 10

• All real numbers because it is linear.