Math I Functions F.IF.5 (Appropriate Domain)

At a local strawberry farm, customers fill a bucket with strawberries. The function f(x) = 4x models the cost for the strawberries, where x is the number of pounds of strawberries in the bucket. A bucket can hold up to 10 pounds of strawberries. Which is an appropriate domain of the function?

• 0 ≤ x ≤ 10
• 4 ≤ x ≥ 10
• x > 0
• x > 4 

Hannah’s after-school job is tutoring math. The profit she earns is modeled by the function P(x) = 20x , where x is the number of hours, to the nearest whole hour, she tutors. What is an appropriate domain for the function?

• all integers
• all real numbers
• 
  all negative integers
• all positive integers

The function f(x) = 3.89x  models the cost for Jeff to fill his truck with x gallons of gas. Jeff’s truck can hold a maximum of 21 gallons of gas. Jeff never lets his truck go below 2 gallons of gas. What is the most appropriate domain of the function?

• 2 ≤ x ≤ 23
• 2 ≤ x ≤ 21
• 0 ≤ x ≤ 19
• 0 ≤ x ≤ 21

The total number of people a restaurant can seat is a function of the number of hours the restaurant has been open. A restaurant is open from 12 p.m. to 2 a.m. The restaurant can seat up to 120 people every hour. Which is the most appropriate domain of the function?

• 0 ≤ x ≤ 2
• 
  0 ≤ x ≤ 14
• 0 ≤ x ≤ 120
• 0 ≤ x ≤ 1,680

Pablo had $1.25 in change made up of nickels and dimes.  The graph below shows the possible number of nickels and dimes that Pablo had. Which is an appropriate domain for the function graphed?

• 
  {0, 2, 4, 6, 8, 10, 12}
• {0, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}
• {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
• {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}