Appropriate Domain and Range

Which domain would be the most appropriate set to use for a function that predicts the number of household online-devices in terms of the number of people in the household?

• Integers

• Whole Numbers

• Irrational Numbers

• Rational Numbers

Which domain would be the most appropriate to use for a function that compares the number of emails sent (x) to the amount of data used for a cell phone plan (y)?

• Integers

• Whole Numbers

• Rational Numbers

• Irrational Numbers

A construction company uses the function f(x), where x is the number of people working on a project, to model the amount of money it spends to complete a project. A reasonable domain for this function would be

• Positive Integers

• Positive real numbers

• both positive and negative integers

• both positive and negative real numbers

A store sells ice cream sundaes. The function C(x) represents the cost, in dollars, of a sundae weighing x ounces. An appropriate domain for the function would be

• Integers

• Rational Numbers

• Positive Integers

• Positive Rational Numbers

At an ice cream shop, the profit, P(x), is modeled by the function P(x) = 0.87x, where x represents the number of ice cream cones sold. An appropriate domain for this function is

• {...,-3, -2, -1, 0, 1, 2, 3...}

• {0, 1, 2, 3,...}

• {0.87, 1.74, 2.61...}

• Irrational Numbers

The MoviePass company charges $10 for a membership fee plus an additional $2 fee for every newly released movie you see in the movie theater. Where x represents the number of movies viewed in the theater. Which of the following best describes the domain?

• All Real Numbers

• All Integers

• Positive Whole Numbers

• Positive Real Numbers

The total cost for potatoes, y, at a grocery store can be modeled by the equation 

y = 0.59x, where x is the number of pounds of potatoes. What is the most appropriate domain of the function?

• all non negative real numbers

• all non negative integers

• all real numbers

• all integers

A rental company uses the function

 f(x) = 150x + 75 to calculate the cost to rent a beach house x number of nights. The maximum number of nights the beach house can be rented is 30. What is the domain of the function?

•  0 ≤ x ≤ 30,  where x is a whole number

•  0 < x < 30, where x is a whole number

•  0 ≤ x ≤ 4,575,  where x is a whole number

• 0 < x < 4,575, where x is a whole number

 The function f(x) = 1,575 – 225x models the value of a computer x years after it was purchased. What is an appropriate domain for this function?

• x ≥ 0

•  x ≤ 7

• x ≥ 7

• 0 ≤ x ≤ 7

Sarah’s car holds a maximum of 12 gallons of gas. The function f(g)=3.50g models the relationship between the total cost of gas, f(g), and the number of gallons of gas purchased, g. What is the most appropriate domain of the function?

• all positive integer values of x 

•  all positive real values of x

•  0 < g < 12   where g is an integer

• 0 < g < 12    where g is a real number