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Worksheets

Domain & Range Word Problems

Total questions: 21

Worksheet time: 1hrs 13mins

Name
Class
Date
1.

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)

a)

-4, -3, -2, -1, 0.....

b)

$10, $20, $30, $40......

c)

0, 1, 2, 3.....

d)

1, 2, 3, and 4

2.

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)

a)

-4, -3, -2, -1, 0.....

b)

$10, $20, $30, $40......

c)

0, 1, 2, 3.....

d)

$40, $50, $60.....

3.

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.

4.

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

5.

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 range of the situation?

a)

0 < y< 33

b)

0<y<33

c)

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

d)

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

6.

Leslie's car travels about 25 miles per gallon of gas. Her car needs 14 gallons of gas to be full. What is a reasonable domain?

a)

x25x\ge25

b)

0y140\le y\le14

c)

x14x\le14

d)

0x140\le x\le14

7.

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?

a)

0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16

b)

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

c)

0 < x < 10

d)

x < 10

8.

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?

a)

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

b)

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

c)

0 < y < 100

d)

y < 100

9.
What is the range of the following graph?
a)
R:  {-5, -1,  0 , 1, 5}
b)
R:  {-4, -2, 0, 3, 6}
c)
R: (-4, 1)  ( 6, 0)
d)
R: (6, 0)
10.
For the function (0,1), (1,-3), (2,-4), & (-4,1), which choice gives the correct domain & range?
a)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
b)
D: {-4, 0, 1, 2}
R: {-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R: {1, -3, -4}
d)
D:  {-4, -3, 1}
R: {-4, 0, 1, 2}
11.
What is the Domain?
a)
{-3, -1, 1, 3, 5, 7, 9}
b)
{-3, -2, -1, 0, 1, 2, 3}
c)
-3 ≤ x ≤ 3
d)
-3 ≤ x ≤ 9
12.
Find the Range.
a)
All Real numbers
b)
0 < y < 11
c)
y ≥ 0
d)
y > 0
13.
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?
a)
{4, 5, 6, 7}
b)
4 ≤ x ≤ 7
c)
72.55 ≤ c ≤ 123.50
d)
{72.55, 89.50, 106.45, 123.40}
14.
What is the Domain?
a)
-3 ≤ x < 5
b)
-3 ≤ y < 5
c)
-8 ≤ x < 5
d)
-8 ≤ y < 5
15.
Find the Domain.
a)
All real numbers
b)
x > 3
c)
x > 0
d)
x ≥ 0
16.
What is the Range?
a)
{-3, -1, 1, 3, 5, 7, 9}
b)
{-3, -2, -1, 0, 1, 2, 3}
c)
-3 ≤ x ≤ 3
d)
-3 ≤ x ≤ 9
17.

Is this mapping a function and how can you tell?

a)

Yes its a function cause all the numbers have lines

b)

No it's not a function because there a 5 in both ovals

c)

No it's not a function because the x value 5 has 2 outputs.

d)

No it's not a function because the y value 5 has 2 inputs.

18.

Is this table a function and how can you tell?

a)

Yes its a function because there are not variables for missing numbers

b)

No it's not a function because the y value 4 repeated

c)

No it isn't a function because the x value 2 is repeated

d)

No it's not a function because the x value 5 has 2 outputs.

19.
Which of the following best describes a function?
a)
A special relationship where each x and y are individually paired
b)
A special relationship where each x value has only one y value 
c)
A special relationship where each y value has only one x value 
d)
A special relationship where each the x and y value and always equal 
20.

What is the input?

a)

0, 4, 10, 12

b)

1, 2, 4, 5, 10, 12

c)

0, 4, 10, 4, 12

d)

1, 2, 5

21.

What is the output?

a)

0, 4, 10, 12

b)

1, 2, 4, 5, 10, 12

c)

0, 4, 10, 4, 12

d)

1, 2, 5