Evaluating Functions Word Problems Domain and Range

A set of weights includes a 45 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+45. What is the range of the function in this situation?

• {0, 1, 2, 3, 4, 5, 6,}

• {45, 65, 85, 105, 125, 145, 165}

• {0, 2, 4, 6}

• {45, 55, 65, 75,85,95}

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?

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

• -4, -3, -2, -1, 0.....

• $10, $20, $30, $40......

• 0, 1, 2, 3.....

• $40, $50, $60.....

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

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day. For one day of work, what is the DOMAIN of the function for this situation?

Find the Range.

• All Real numbers

• 0 < y < 11

• y ≥ 0

• y > 0

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 ≤ x ≤ 7

• 72.55 ≤ c ≤ 123.50

• {72.55, 89.50, 106.45, 123.40}

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

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

• -4, -3, -2, -1, 0.....

• $10, $20, $30, $40......

• 0, 1, 2, 3.....

• $40, $50, $60.....

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. What is the 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