Appropriate Domain and Range

The function f(x)=1.75x+2 models the total cost to purchase an ice cream sundae with x amount of toppings. Austin only has $8 to spend on his ice cream sundae. What is the most appropriate domain for this situation?

• x ≤ 8

• 0 ≤ x ≤ 8

• x ≤ 4

• 0 ≤ x ≤ 4

A student is taking a test that has 10 questions on it. The student's score is a function of how many questions he misses: f(x)=100-10x, where x is the number of questions incorrect. Which of the following describes an appropriate domain?

• 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16

• 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

• 0 < x < 10

• x < 10

If I join the gym for a start up fee of $40 and monthly fee of $10, what is the domain? (Equation: f(x)=40+10x)

• -4, -3, -2, -1, 0.....

• $10, $20, $30, $40......

• 0, 1, 2, 3.....

• 1, 2, 3, and 4

Janice is working as a babysitter for the Harold Family. They plan to leave for their date at 7:00 pm and be back by 12:00 am. If the equation f(x) = 15x + 20 models the amount that Janice will earn, where x is the number of hours she works, and f(x) is the total money she earns, what is an appropriate range?

• any value between 0 and 20

• 20, 35, 50, 65,80,95

• any value between 20 and 95

• any value greater than 0

Janice is working as a babysitter for the Harold Family. They plan to leave for their date at 7:00 pm and be back by 12:00 am. If the equation f(x) = 15x + 20 models the amount that Janice will earn, where x is the number of hours she works, and f(x) is the total money she earns, what is an appropriate domain?

• any value between 0 and 5

• any value between 15 and 20

• 0,1,2,3,4,5

• any value greater than 0

The function f(x)=3x+10 models the total cost Katie charges to babysit x amount of children. What is the most appropriate domain for the function?

• All rational numbers

• All integers

• All non-negative rational numbers

• All non-negative integers

John has an Amazon gift card worth $30.00. He uses the formula    y=1.29x to determine y, the total cost for x number of books. What is the domain for the situation?

• All integers between 0 and 23

• All real numbers between 0 and 23.26

• All integers greater than 0

• All integers between 0 and 30

• y ≥ 0
• { 1, 2, 3, 4 }
• {0, 1, 2, 3, 4 }
• 0 ≤ y ≤ 3

• Non-negative integers
• Non-negative real numbers
• All integers
• All real numbers

• x ≥ 0
• x ≤ 7
• 0 ≤ x ≤ 7
• { 0,1, 2, 3, 4, 5, 6, 7 }