Domain and Range Word Problems

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

• -4, -3, -2, -1, 0.....

• $10, $20, $30, $40......

• 0, 1, 2, 3.....

• 1, 2, 3, and 4

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

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.....

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.B.5

A holiday church's 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 in the church, 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, 92.50, 105, 117.50, ....

• None of the above.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

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

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

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 range?

• 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

• 0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

• 0 < y < 100

• y < 100

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

James is creating a budget. He has exactly $20.25 to spend on gas each month. Gas is currently $2.25 a gallon. If the function f(x)=20-2.25x represents the amount of money he has left after buying x gallons of gas, what is the domain?

• 0 < x < 9

• 0 < y < 9

• 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

• 0 < x

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

James is creating a budget. He has exactly $20.25 to spend on gas each month. Gas is currently $2.25 a gallon. If the function f(x)=20-2.25x represents the amount of money he has left after buying x gallons of gas, what is the range?

• 0 < y < 20.25

• 0 < x < 9

• 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

• 0 < x < 20.25

Tags

CCSS.HSA.CED.A.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

A teacher bought a package of stickers to pass out as rewards for her students. The package started off with 100 stickers, and each student gets 2 stickers a day. If the equation f(x)=100-2x represents the number of stickers the teacher has left, what is the largest value in the domain?

• 50

• 100

• 2

• 25

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.IF.B.5

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}

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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, 52, 72, 86, 105}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5