Free Printable Domain and Range Word Problems Graphs

1.

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 range of the function for this situation?

a)

$0\le x\le8$

b)

$80\le y\le440$

c)

$0\le x\le10$

d)

$45\le y\le685$

2.

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?

a)

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

b)

{45, 65, 85, 105, 125, 145, 165}

c)

{0, 2, 4, 6}

d)

{45, 55, 65, 75,85,95}

3.

The height in inches of concrete being poured for a foundation can be found using the function y=15+2.5x, where x is the number of minutes. If the concrete is poured between 5 and 10 minutes, find the domain and range of this situation.

a)

Domain: $5\le x\le10$ Range: $27.5\le y\le40$

b)

Domain: $27.5\le x\le40$ Range: $5\le y\le10$

c)

Domain: {5, 6, 7, 8, 9, 10} Range: {28, 29, 30, ..., 40}

d)

Domain: {28, 29, 30, ..., 40} Range: {5, 6, 7, 8, 9, 10}

4.

a)

Function

b)

Not a Function

5.

a)

Function

b)

Not a Function

6.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

7.

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.

a)

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

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

b)

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

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

c)

Domain: $0\le x\le20$

Range: $20\le y\le160$

d)

Domain: $20\le x\le160$ Range: $0\le y\le20$

8.

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?

a)

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

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

b)

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

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

c)

Domain: $0\le x\le2400$ Range: $0\le y\le7$

d)

Domain: $0\le x\le7$ Range: $0\le y\le2400$

9.

a)

{1, 2, 3, 4, 5}

b)

{-1, 1, 2, 3}

c)

{1, 2, 3, 5}

d)

[1, 5]

10.

What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)

a)

{-4, 4, 8, 9}

b)

{-2, 3, 8, 10}

c)

{(9, -2) ( 4, 3)}

d)

{(8, 10) (-4, 8)}

11.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

12.

What is the Domain of this linear function?

a)

-3 < x ≤ 5

b)

x = -1

c)

5 < x ≤ -3

d)

-2 < x ≤ 6

13.

What is the range of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

14.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

15.

What is the range?

a)

-7≤x≤6

b)

-7<x<6

c)

-8<y<2

d)

-8≤y≤2

16.

a)

Function

b)

Not a Function

17.

What is the domain of the function?

a)

x>3

b)

x≥-3

c)

y≤4

d)

y<4

18.

Identify the domain of the following relation:

a)

{-6, 14, 2, 28}

b)

{(-6,14), (0,32), (2,38), (4,44)}

c)

{-6, 0, 2, 4}

d)

{14, 32, 38, 44}

19.

a)

Function

b)

Not a Function

20.

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.....

Domain and Range Word Problems Graphs

Total questions: 20

Worksheet time: 20mins

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