Domain and Range Word Problems Graphs

Find the Domain.

• All real numbers

• x > 3

• x > 0

• x ≥ 0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Is this mapping a function and how can you tell?

• Yes its a function cause all the numbers have lines

• No it's not a function because there a 5 in both ovals

• No it's not a function because the x value 5 has 2 outputs.

• No it's not a function because the y value 5 has 2 inputs.

Tags

CCSS.8.F.A.1

Mario has and iTunes gift card worth $20.00. He uses the formula    y=0.99x to determine y, the total cost for x number of songs. What is the domain for the situation?

• All integers between 0 and 20

• All real numbers between 0 and 19.80

• All integers greater than 0

• All integers between 0 and 250

Hector’s service club is raising money by wrapping presents in the mall. The function y = 3x describes the amount of money, in dollars, the club will earn for wrapping x presents. Hector's goal is to wrap between 25 and 30 presents. If he reaches his goal what is the domain of this situation?

• {25, 26, 27, 28, 29, 30}

• {75, 78, 81, 84, 87, 90}

Hector’s service club is raising money by wrapping presents in the mall. The function y = 3x describes the amount of money, in dollars, the club will earn for wrapping x presents. Hector's goal is to wrap between 25 and 30 presents. If he reaches his goal what is the range of this situation?

• {25, 26, 27, 28, 29, 30}

• {75, 78, 81, 84, 87, 90}

A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x, the time in minutes.

Which answer choice best describes the domain and range of the function for this situation?

• Domain: all real numbers greater than or equal to 0 and less than or equal to 100.

  Range: all real numbers greater than or equal to 0 and less than or equal to 50.

• Domain: {-2}

  Range: {100}

• Domain: all real numbers greater than or equal to 0 and less than or equal to 50.

  Range: all real numbers greater than or equal to 0 and less than or equal to 100.

• Domain: {100}

  Range: {-2}

A set of weights includes a 4 lb barbell and 6 pairs of weight plate. Each pair of plates weighs 20 lb. If x pairs of plate are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x)=20x+4. What is the range of the function in this situation?

• {0, 1, 2, 3, 4, 5, 6,}

• {4, 24, 44, 64, 84, 104, 124}

• {0, 2, 4, 6}

• {4, 44, 84, 124}

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c=34.95u+6.25, where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the volleyball team, what is the domain of the function for this situation?

The number of ferryboat trips, f(c), needed to transport c cars in 1 day can be found using the function f(x)=c/20. If there are no more than 5,000 cars transported by ferryboat daily, what is the range of the function in this situation?

• The set of all integers greater than or equal to 5,000

• The set of all integers from 0 to 5,000

• The set of all integers greater than or equal to 250

• The set of all integers from 0 to 250

For the function (0,1), (1,-3), (2,-4), & (-4,1), which choice gives the correct domain & range?

• {0, 1, 2, -4}
  R: {1, -3, -4, 1}

• {-4, 0, 1, 2}
  R: {-4, -3, 1}

• {0, 1, 2, 3, 4}
  R: {1, -3, -4}

•  {-4, -3, 1}
  R: {-4, 0, 1, 2}