Classwork - Domain and Range

Mae worked at a summer camp where she earned $20 plus $7 an hour each week. The amount of money she earned each week, e, is a function of the number of hours she works, h. Mae could not work more than 20 hours each week. What is the domain/range? Note: Mae can work part of an hour.

• Domain: {0, 1, 2, 3, ..., 20}

  Range: {20, 27, ..., 160}

• Domain: {20, 27, ..., 160}

  Range: {0, 1, 2, 3, ..., 20}

Lucy's dog gave birth to a litter of 7 puppies. She plans to sell each puppy for $350. The function f(x)=350x can be used to represent this situation. What is the domain/ range of this function?

• Domain: {0, 1, 2, 3, 4, 5, 6, 7}

  Range: {0, 350, 700, 1050, 1400, 1750, 2100, 2400}

• Domain: {0, 350, 700, 1050, 1400, 1750, 2100, 2400}

  Range: {0, 1, 2, 3, 4, 5, 6, 7}

A BBQ meal costs $12.50 a person plus a delivery fee of $30. The equation is: f(x)=30+12.5x, where x is the number of hungry people. If there are 15 people ordering BBQ, what is the domain?

• {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

• {0, 42.50, 55, 67.50, 80, ... , 105, 217.50}

• All Real Numbers

What is the range if at least 5 but not more than 10 t-shirts are purchased?

• 5 ≤ x ≤ 10

• 35 ≤ c ≤ 65

• {5, 6, 7, 8, 9, 10}

• {35, 41, 47, 53, 59, 65}

Paul works for a landscaping company during his school breaks. To prepare for a day of work, he fills his leaf blower with 2 gallons of fuel, which will last for 4 hours of use. The function V(h) represents the amount of fuel, in gallons, remaining in the leaf blower after h hours of use.

What is the domain of V(h)?

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The Astoria Park Community Pool sells season passes for $105 each. This season, they can sell up to 500 season passes. The function S(n) represents the amount of money the pool makes from selling n passes this season.

What is the domain of S(n)?

• all whole numbers

• all whole numbers less than or equal to 500

• all real numbers

• all real numbers less than or equal to 500

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c(u) = 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?

Identify the Domain of the graph depicted.

• 0 ≤ x ≤ 180

• 0 ≤ y ≤ 180

• 0 ≤ x ≤ 1500

• 0 ≤ y ≤ 1500

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5