Domain and Range Constraints

What is the Range?

• [-3, 2)

• (-3, 2]

• [-7, 2]

• [-7, 2)

Tags

CCSS.HSA.REI.D.10

The total cost in dollars, c, to purchase video games online can be found using the function c = 16.95x + 4.75, where x is the number of video games purchased. If at least 4 games but no more than 7 games are purchased online, what is the range of the function for this situation?

• {4, 5, 6, 7}

• [4, 7]

• [72.55, 123.50]

• {72.55, 89.50, 106.45, 123.40}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

The student council set its members on four field trips during the school year. The number of buses needed to transport the members on each trip is a function of the number of members who went on the trip. This function consists of only the ordered pairs (52, 3), (72, 4), (86, 5), and (105, 6). What is the domain for this situation?

• {52, 105}

• {3, 4, 5, 6}

• {52, 72, 86, 105}

• {3, 4, 5, 6, 52, 72, 86, 105}

Li is going to buy some video games. Each game costs $22.50.

Write an equation to model the total amount he spends, C, as a function of the number of video games bought, v.

• C = 22.50

• C(v) = 22.5v

• C(v) = 22.50 + v

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

The amount of money that Li spends on video games depends on how many games he purchases.  If Li has at most $90 to spend on games for his Xbox 360 and the games cost $22.50 each, what is the domain of this function?

• {0 ≤ x ≤ 90}
• {0 ≤ x ≤ 4}
• {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
• {0, 1, 2, 3, 4}

Tags

CCSS.HSA.CED.A.3

CCSS.HSF.IF.B.5

The total cost in dollars to buy uniforms for the players on the 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 team, what is the domain of the situation?

• 0 < u ≤ 12

• 0 < c ≤ 425.65

• {8, 9, 10, 11, 12}

• {295.85, 320.80, 355.75, 390.70, 425.65}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

Using his spending account at the school store, Randy buys pencils which are 12 cents each.  For the first 4 months of school, Randy bought 3, 4, 6, and 9 pencils.  If the function A = .12p represents the amount, A, Randy spent on pencils each month and p is the number of pencils he buys, what is the range of this function?

• {3, 4, 6, 9}
• {0.15, 0.16, 0.18, 0.21}
• {0.36, 0.48, 0.72, 1.08}
• {3.12, 4.12, 6.12, 9.12}

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

A pizza shop sells pizza for $7.50 each plus $1.25 per topping. The total price of the pizzas can be determined by the function P(t) = 7.5 + 1.25t, where t is the number of toppings orders and P(t) is the total price of the pizza. The shop has a delivery policy that all orders must have a minimum of 2 toppings and maximum of 8 toppings for a delivery. Which inequality represents the range of the situation?

• 2 ≤ P(t) ≤ 8

• 0 ≤ P(t) ≤ 8

• 10 ≤ P(t) ≤ 17.50

• 0 ≤ P(t) ≤ 17.50

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

• F
• G
• H
• J

Tags

CCSS.HSF.IF.B.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 domain?

• any value between 0 and 5
• any value between 15 and 20
• any value between -1 and 1
• any value greater than 0

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5