Domain and Range Word problems
Domain and Range
Is it a function?
Function Notation
Mrs. Wallace!
100

Tiana is a member of the school swim team, and she specializes in distance events. Today at practice, she plans to swim for 20 minutes at a constant speed of 75 meters per minute. The function D(m) represents the total distance Tiana has swum, in meters, during m minutes of practicing. 

What is the domain? 

a. All real numbers 0-20

b. All real numbers 0-75

c. All whole numbers 0-20

D. All whole numbers 0-75

A. All real numbers 0-20

100

What is the domain of the following ordered pairs:

(2,3) (3,4) (4,5) (5,23) (6,34)

2, 3, 4, 5

100

(1,5) (3,4) (1,2) (8,0)

If not, list the value that makes it not a function.

No, the 1 repeats.

100
If f(x)= 2x, find the following: f(-1)

-2

100

What is my son's name?

LJ

200

Adriana is flying her drone at an altitude of 300 feet when she decides it's time to bring it down. The drone descends at a rate of 10 feet per second and takes 30 seconds to land. The function A(t)represents the altitude, in feet, of Adriana's drone t seconds after she begins to bring it down.

What is the domain?

A. all whole numbers less than or equal to 300
B. all real numbers from 0 to 30
C. all real numbers less than or equal to 300
D. all whole numbers from 0 to 30


B. all real numbers from 0 to 30
200

What is the range of the following ordered pairs:

(2,3) (3,4) (4,5) (5,23) (6,34)

3, 4,5 23, 34

200

(0.5,6) (0.5,7) (0.5,12) (0.5,4)

If not, list the value that makes it not a function.

No, 0.5 repeats

200

If f(x)= 3x+1, find the following: f(5)

16

200

Why did I miss so much work last week?

My husband has a bulging disk in his back and couldn't watch our baby

300

Stefan works as a pizza chef. He begins his day by preheating the pizza oven. Today, the oven's interior temperature was 72°F when Stefan turned it on high-power to preheat. The temperature rose steadily at a rate of 12°F per minute until it reached its ideal temperature an hour later. Then, Stefan reduced the power so the temperature would stop rising. The function T(m) represents the oven's interior temperature, in °F, after m minutes of preheating. What is the domain?


A. all real numbers from 0 to 72
B. all real numbers from 0 to 60
C. all whole numbers greater than or equal to 72
D. all whole numbers less than or equal to 12


B. all real numbers from 0 to 60
300

What is the domain from the following 'table'

x: 5, 6, 7, 8, 9

y: 12, 13, 14, 15, 16

5, 6, 7, 8,9

300

(8,12) (9,12) (10,12) (15,12)

If not, list the value that makes it not a function.

Yes

300

If f(x)= 10x-15, find the following: f(4)

25

300

Where did I teach last year?

California

400

Lucy makes some extra money working as a referee at youth soccer games. She earns $30 for each game she referees. The function D(g) represents the total amount Lucy earns, in dollars, for refereeing g soccer games. What is the range?


A. all real numbers from 0 to 30
B. all multiples of 30 less than or equal to 300
C. all whole numbers from 0 to 30
D. all multiples of 30 greater than or equal to 0


D. all multiples of 30 greater than or equal to 0

400

What is the domain from the following 'table'

x: 5, 6, 7, 8, 9

y: 12, 13, 14, 15, 16

12, 13, 14, 15, 16

400

x   y

3   5

4   5

5   5

6   5


If not, list the value that makes it not a function.

Yes

400

If f(x)= 3(x+9), find the following: f(12)

63

400

What is my favorite drink? (There are 3 answers, if you can get all 3, you can triple the points. If you get 2, you double them)

water

iced coffee

iced tea

500

Justine is a pilot for McDonald Airlines. Her airplane is cruising at an altitude of 30,000 feet when she begins to descend at a constant rate of 2,500 feet per minute. After 12 minutes, she lands the airplane. The function A(m) represents the airplane's altitude, in feet, m minutes after beginning its descent.

What is the domain?


A. all real numbers from 0 to 2,500
B. all whole numbers from 0 to 12
C. all whole numbers less than or equal to 2,500
D. all real numbers from 0 to 12


D. all real numbers from 0 to 12

500

What is the domain from the following map:

1  4 

5   7

6   10

9   13

1, 5, 6, 9

500

x   y

1   3

3   5

3   6

4   6

If not, list the value that makes it not a function.

No, the 3 repeats

500

If f(x)= x(x+15), find the following: f(-4)

-44

500

How many tattoos do I have?

7

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