Domain and Range Word Problems Graphs

Find the Domain.

• All real numbers

• x > 3

• x > 0

• x ≥ 0

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

TEKS.MATH.8.5G

TEKS.MATH.A.12A

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

Tags

TEKS.MATH.2A.2A

TEKS.MATH.2A.6K

TEKS.MATH.2A.7I

TEKS.MATH.A.2A

TEKS.MATH.A.6A

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}

Tags

TEKS.MATH.2A.2A

TEKS.MATH.2A.6K

TEKS.MATH.A.2A

TEKS.MATH.A.6A

TEKS.MATH.A.9A

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}

Tags

TEKS.MATH.2A.2A

TEKS.MATH.2A.7I

TEKS.MATH.A.2A

TEKS.MATH.A.6A

TEKS.MATH.A.9A

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}

Tags

TEKS.MATH.2A.2A

TEKS.MATH.2A.6K

TEKS.MATH.2A.7I

TEKS.MATH.A.2A

TEKS.MATH.A.6A

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}

Tags

TEKS.MATH.2A.6K

TEKS.MATH.2A.7I

TEKS.MATH.A.2A

TEKS.MATH.A.6A

TEKS.MATH.A.9A

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?

Tags

TEKS.MATH.2A.2A

TEKS.MATH.2A.6K

TEKS.MATH.A.2A

TEKS.MATH.A.6A

TEKS.MATH.A.9A

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

Tags

TEKS.MATH.2A.2A

TEKS.MATH.2A.6K

TEKS.MATH.2A.7I

TEKS.MATH.A.2A

TEKS.MATH.A.6A

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}

Tags

TEKS.MATH.2A.2A

TEKS.MATH.2A.6K

TEKS.MATH.2A.7I

TEKS.MATH.A.2A

TEKS.MATH.A.9A