Free Printable Domain and Range (Discrete and Continous

1.

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?

a)

$0<u<12$

b)

$0<c\le425.65$

c)

$\left\{8,9,10,11,12\right\}$

d)

$\left\{285.85,\ 320.80,\ 355.75,\ 390.70,\ 425.64\right\}$

2.

A plumber charges a $25 service fee and $50 per hour for at least one hour but not more than 4 hours. If 𝑥 represents the number of hours the plumber is at your house, the total cost for the plumber’s service is represented by 𝑓(𝑥) = 50𝑥 + 25.

What is a possible range for this situation?

a)

{1,2,3,4}

b)

{75,125,175,225}

c)

{𝑥 | 1 ≤ 𝑥 ≤ 4}

d)

{𝑦 | 25 ≤ 𝑦 < 225}

3.

A plumber charges a $25 service fee and $50 per hour for at least one hour but not more than 4 hours. If 𝑥 represents the number of hours the plumber is at your house, the total cost for the plumber’s service is represented by 𝑓(𝑥) = 50𝑥 + 25.

What is a possible domain for this situation?

a)

{1,2,3,4}

b)

{75,125,175,225}

c)

{𝑥 | 1 ≤ 𝑥 ≤ 4}

d)

{𝑦 | 25 < 𝑦 < 225}

4.

The total cost, 𝑐, in dollars to create calendars for a fundraiser can be found using the function 𝑐 = 5.5𝑢 + 25 where u is the number of calendars made. If there are at least 10 calendars made, what is a possible domain for this function?

a)

{𝑥 | 0 ≤ 𝑥 < 50}

b)

{−12,−11,12,20,50}

c)

{𝑥 | 10 ≤ 𝑥 < 100}

d)

{10,11,12,13,14}

5.

The total cost, 𝑐, in dollars to create calendars for a fundraiser can be found using the function 𝑐 = 5.5𝑢 + 25 where 𝑢 is the number of calendars made. If there are at least 10 calendars made, what is a possible range for this function?

a)

{25,30.5,36,41.5,47}

b)

{80,85.5,113,124,140.5}

c)

{𝑦 | 0 ≤ 𝑦 < 25}

d)

{𝑦 | 10 ≤ 𝑦 < 50}

6.

The number of airplane trips, 𝑓(𝑝), needed to transport p people in one day can be found using the function $f\left(p\right)=\frac{p}{150}$ . If there are at most 750 people

transported by airplanes daily, what is the domain of the function for this situation?

a)

The set of all integers from 0 to 5

b)

The set of all integers from 0 to 150

c)

The set of all integers less than or equal to 750

d)

The set of all integers from 0 to 750

7.

The number of airplane trips, 𝑓(𝑝), needed to transport p people in one day can be found using the function $f\left(p\right)=\frac{p}{150}$ . If there are at most 750 people

transported by airplanes daily, what is the range of the function for this situation?

a)

The set of all integers from 0 to 5

b)

The set of all integers from 0 to 150

c)

The set of all integers less than or equal to 750

d)

The set of all integers from 0 to 750

8.

A gym charges a $15 registration fee and $5 per session. If 𝑥 represents the number of sessions, the total cost for going to the gym is represented by 𝑓(𝑥) = 5𝑥 + 15. Mario will be going to the gym no more than 4 times this week.

What is a possible domain for this situation?

a)

{1,2,3,4}

b)

{20,25,30,35}

c)

{𝑥 | 0 ≤ 𝑥 ≤4}

d)

{𝑦 | 15 ≤ 𝑦 ≤ 35}

9.

A gym charges a $15 registration fee and $5 per session. If 𝑥 represents the number of sessions, the total cost for going to the gym is represented by 𝑓(𝑥) = 5𝑥 + 15. Mario will be going to the gym no more than 4 times this week.

What is a possible range for this situation?

a)

{1,2,3,4}

b)

{20,25,30,35}

c)

{𝑥 | 0 ≤ 𝑥 ≤4}

d)

{𝑦 | 15 ≤ 𝑦 ≤ 35}

10.

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates 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 for this situation?

a)

{0,1,2,3,4,5,6}

b)

{4, 24, 44, 64, 84, 104, 124}

c)

{0,2,4,6}

d)

{4, 44, 84, 124}

11.

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates 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 domain of the function for this situation?

a)

{0,1,2,3,4,5,6}

b)

{4, 24, 44, 64, 84, 104, 124}

c)

{0,2,4,6}

d)

{4, 44, 84, 124}

12.

Joe had a summer job that pays $7.00 an hour and he worked between 15 and 25 hours every week. His weekly salary can be modeled by the equation: y = 7x, where y is his weekly salary and x is the number of hours he worked in a week. What is a reasonable domain for this function?

a)

{15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}

b)

{105, 112, 119, 126, 133, 140, 147, 154, 161, 168}

c)

{x | 15 ≤ x ≤ 25}

d)

{x | 105 ≤ x ≤ 168}

13.

Joe had a summer job that pays $7.00 an hour and he worked between 15 and 25 hours every week. His weekly salary can be modeled by the equation: y = 7x, where y is his weekly salary and x is the number of hours he worked in a week. What is a reasonable range for this function?

a)

{15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}

b)

{105, 112, 119, 126, 133, 140, 147, 154, 161, 168}

c)

{y | 15 ≤ y ≤ 25}

d)

{y | 105 ≤ y ≤ 168}

14.

A student lives 4 miles from his school. He is skateboarding to school at a rate of 2 miles per hour. His distance from school, y, is a function of how long he has been riding his skateboard, x. What is a reasonable domain for this situation?

a)

{0, 1, 2}

b)

{0, 1, 2, 3, 4}

c)

{x | 0 ≤ x ≤ 2}

d)

{x | 0 ≤ x ≤ 4}

15.

A student lives 4 miles from his school. He is skateboarding to school at a rate of 2 miles per hour. His distance from school, y, is a function of how long he has been riding his skateboard, x. What is a reasonable range for this situation?

a)

{0, 1, 2}

b)

{0, 1, 2, 3, 4}

c)

{y | 0 ≤ y ≤ 2}

d)

{y | 0 ≤ y ≤ 4}

16.

What is the hardest part about domain and range in word problems?

a)

Remembering that domain is x and range is y.

b)

Deciding if they should be discrete or continuous

c)

Figuring out which part of the situation should be x and y

d)

Something else, I will talk to you!

17.

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?

a)

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

b)

0, 42.50, 55, 67.50, 80, 92.50, 105, 117.50, ....

c)

None of the above.

18.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. The equation: C=2h+15. If Frank has $33 to spend, what is the domain of the situation?

a)

0 < x < 9

b)

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

c)

15, 17, 19, 21, 23, 25, 27, 29, 31, 33

d)

0 < y < 33

19.

A gym charges a $15 registration fee and $5 per session. If 𝑥 represents the number of sessions, the total cost for going to the gym is represented by 𝑓(𝑥) = 5𝑥 + 15. Mario will be going to the gym no more than 4 times this week.

What is a possible domain for this situation?

a)

{1,2,3,4}

b)

{20,25,30,35}

c)

{𝑥 | 0 ≤ 𝑥 ≤4}

d)

{𝑦 | 15 ≤ 𝑦 ≤ 35}

20.

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates 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 for this situation?

a)

{0,1,2,3,4,5,6}

b)

{4, 24, 44, 64, 84, 104, 124}

c)

{0,2,4,6}

d)

{4, 44, 84, 124}

Domain and Range (Discrete and Continous

Total questions: 20

Worksheet time: 59mins

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