D&R Graphs
D&R Word Problems
D&R Mixed
Misc.
100
What is the domain and range of the graph below?
Domain: {0,1,2,3,4}
Range: {24,32,40,48,56} OR {56,48,40,32,24}
100
A swimming pool can be rented for $50 per hour. The pool can be rented for either 1 hours or 2 hours. The cost in dollars to rent the pool is a function of the number of hours the pool is rented and can be modeled by f(x)=50x.
Is this situation discrete or continuous? Justify your answer.
This situation is _______ because...
This situation is discrete because it can only be rented for 1 or 2 hours.
100
Find the domain and range of the table below.
Domain: {-3,0,1,4,5}
Range: {-10,2,6,18,22}
100
Is the relation above a function or not? Justify your answer.
This is a function because no x repeats.
200
What is the domain and range of the graph below?
Domain: -6<x<=6
Range: -3<=y<1
200
A swimming pool can be rented for $50 per hour. The pool can be rented for either 1 hours or 2 hours. The cost in dollars to rent the pool is a function of the number of hours the pool is rented and can be modeled by f(x)=50x.
What is the domain and range of this situation?
Domain: {1,2}
Range: {50,100}
200
Find the domain and range of the table below.
Domain: {0,1,2,3,4}
Range: {0,5,10,15,20}
200
Given f(x)=-4x+2 , find f(1)
f(1)=-2
300
What are the domain and range of the graph below?
Domain: -2<x<=0
Range: -2<y<=0
300
The daily cost of hiring a plumber, f(x), to work x hours on a repair project can be modeled using the function f(x)=45x+80. 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 domain and range of the function for this situation?
Domain: 0<=x<=8
Range: 80<=y<=440
300
What is the domain and range of the graph below?
Write the domain and range in WORDS.
The domain is the set of all real numbers _______________ and ______________________.
The range is the set of all real numbers _______________ and ______________________.
The domain is the set of all real numbers greater than or equal to -6 and less than 4.
The range is the set of all real numbers greater than 0 and less than or equal to 5.
300
Is the relation below a function? Justify your answer.
This is a function because it passes the vertical line test.
400
What is the domain and range of the graph below. Write it in WORDS.
The domain is the set of all real numbers _________________ and ____________________.
The range is the set of all real numbers _________________ and ____________________.
The domain is the set of all real numbers greater than or equal to 1 and less than 5.
The range is the set of all real numbers greater than or equal to -1 and less than 3.
400
A student worked out at a gym continuously for 50 minutes. The amount of calories burned, f(x), for working out x minutes can be modeled by the function f(x)=10x.
What is the domain and range of the function for this situation?
Domain: 0<=x<=50
Range: 0<=y<=500
400
Write the domain and range of the graph below.
D: x>=-6
R: y<=5
400
Given f(x)=x^2+10x+23 , find f(-3)
f(-3)=2
500
The domain and range of linear function r are shown below.
x>3
y<3
Could the graph below represent linear function r? Justify your answer.
This does/does not represent r because...
This does not represent r because the range of this graph is y>3 .
500
David is reading a book that has 295 pages. He has already read 45 pages and plans to continue reading another 25 pages each day until he completes the book. David's progress can be represented by the function p(d)=25d+45 , where d is the number of days he has read and p(d) is the total number of pages he has completed.
What is the domain and range of the situation?
*Hint: Try plugging in numbers for d to see which one gets 295
Domain: 0<=x<=10
Range: 0<=y<=295
500
A coach has 42 golf balls for the school’s golf team. The coach will give each player on the team 7 golf balls. The coach will use no more than 6 players on the school’s golf team. The linear relationship between f(x), the number of golf balls remaining for the team, and x, the number of players on the team can be modeled by f(x)= 42-7x.
What is the domain and range of the function for this situation?
D: {0,1,2,3,4,5,6}
R: {0,7,14,21,28,35,42} OR {42,35,28,21,14,7,0}
500
Given h(t)=12-3t , find h(-4)
h(-4)=24