Function Fundamentals
Variable Ventures
Graphs Galore!
Wordy Choices
Equations
100
This is the term for the set of all x-values in a relation or graph.
What is the domain?
100
A gym charges a flat rate of $50 to join and $10 for every class attended. This letter represents the number of classes, which is the independent variable.
What is x?
100
Scenario: Leo was given the equation y = x and asked to graph the line. His teacher then asks what happens to the graph if the equation became y = x + 1.
What could be the best response?
A. The line would shift down 1 unit on the y-axis.
B. The line would shift up 1 unit on the y-axis.
C. The line would pass through the origin (0,0).
D. The line would become a horizontal line.
B. The line would shift up 1 unit on the y-axis.
100
Which scenario best describes the equation: y = 8x?
A. A dog walker charges an $8 flat fee to come to your house.
B. A dog walker charges $8 per hour to walk your dog.
C. A dog walker charges $5 per hour and an $8 flat fee.
D. A dog walker charges $8 for the entire day regardless of hours.
B. A dog walker charges $8 per hour to walk your dog.
100
Scenario: A music streaming service charges a flat rate of $10 to join and $1 for every song (x) you download.
Write an equation to represent the relationship between the number of songs downloaded, x, and the total cost, y.
A. y = 10x + 1
B. y = x + 10
C. y = x - 10
D. y = 11x
B. y = x + 10
200
Identify the range for the function represented by this set of ordered pairs:
{( -5, 2), (0, 4), (3, 8), (7, 10)}
What is {2, 4, 8, 10}?
200
Marcus pays $2.50 for each song he downloads. What represents the independent variable in this situation?
What is the number of songs he downloads?
200
Identify the domain for the following graph.
Domain: {1, 2, 3, 4, 5, 6}
200
Which scenario best describes the equation: y = 12x + 25?
A. A streaming service charges $25 per month and a $12 one-time signup fee.
B. A streaming service charges $12 per month and a $25 one-time signup fee.
C. A streaming service charges $37 per month with no signup fee.
D. A streaming service charges $12 for every 25 movies watched.
B. A streaming service charges $12 per month and a $25 one-time signup fee.
200
Scenario: A local gym charges a one-time registration fee of $35 and a monthly membership fee of $20 for every month (x) you are a member.
Which equation represents the relationship between the number of months, x, and the total cost, y?
A. y = 35x + 20
B. y = 20x + 35
C. y = 55x
D. y = 20x - 35
B. y = 20x + 35
300
Identify the domain for a graph with points located at (-4, 1), (-2, 5), (0, 3), and (3, 3).
What is {-4, -2, 0, 3}?
300
A catering company charges $15 per person. Ms. Gwen reminds Aaliyah that the more people she invites, the higher the catering bill will be. Which of these is the dependent variable?
What is the total amount of the catering bill?
300
Scenario: Marcus was given the equation y = 4x and asked to graph the line. His teacher then asks what happens to the graph if the equation became y = 4x - 6.
What could be the best response?
A. The line would shift up 6 units on the y-axis.
B. The line would shift down 6 units on the y-axis.
C. The line would become less steep.
D. The line would shift left 4 units on the x-axis.
B. The line would shift down 6 units on the y-axis.
300
Which scenario best describes the equation: $y = 0.75x + 2$
A. An online photo shop charges $0.75 per print and $2.00 for shipping.
B. An online photo shop charges $2.00 per print and $0.75 for shipping.
C. An online photo shop charges $2.75 total for every order.
D. An online photo shop gives you $0.75 off for every 2 photos you buy.
A. An online photo shop charges $0.75 per print and $2.00 for shipping.
300
Scenario: A pizza shop charges a delivery fee of $5 for every order. They also charge $12 for every pizza (x) ordered.
Write an equation to represent the relationship between the number of pizzas ordered, x, and the total cost, y.
A. y = 5x + 12
B. y = 17x
C. y = 12x + 5
D. y = 12x - 5
C. y = 12x + 5
400
Lupita’s teacher asks her to look at a table where the x-values are {-2, 0, 2, 4, 2}. Based on the verbiage of a function, why is this table not a function?
The input 2 repeats with different outputs.
400
In the linear equation y = 0.75x + 5, the total cost y depends on the value of x. This makes y the ________ variable.
What is the dependent variable?
400
Scenario: Marcus is tracking the temperature change over several hours. He records his data in the table below. His teacher asks him to identify the range of this function.
What should Marcus write as the range of this function?
A. {-5, -2, 0, 3, 5}
B. {-2, 4, 10, 12}
C. {(-5, 10), (-2, 4), (0, -2), (3, 4), (5, 12)}
D. {(0,-2)}
B. {-2, 4, 10, 12}
400
Which scenario best describes the equation: y = 40x + 60?
A. A plumber charges a $40 service fee to visit your home and $60 per hour for labor.
B. A plumber charges a $100 flat rate for any job performed.
C. A plumber charges a $60 service fee to visit your home and $40 per hour for labor.
D. A plumber charges $40 for the first hour and $60 for every hour after that.
C. A plumber charges a $60 service fee to visit your home and $40 per hour for labor.
400
Scenario: A taxi service app charges a booking fee of $4.25 just to request a ride. The service then charges $2.50 for every mile (x) traveled in the taxi.
Which equation represents the relationship between the number of miles traveled, x, and the total cost of the ride, y?
A. y = 4.25x + 2.50
B. y = 6.75x
C. y = 2.50x + 4.25
D. y = 2.50x - 4.25
C. y = 2.50x + 4.25
500
Which of the following represents a function?
A. A set of points where a vertical line passes through two points at once.
B. A table where the x-value 5 is paired with y-values 10 and 15.
C. A set of ordered pairs where every x-value is unique (does not repeat).
D. A graph of a circle.
C. A set of ordered pairs where every x-value is unique (does not repeat).
500
If a plumber charges a $75 service fee and $60 per hour, describe the relationship between the hours worked and the total cost.
What is: the more hours the plumber works, the higher the total cost will be?
500
C
500
Which scenario best describes the equation: y = -5x + 50?
A. You have a gift card with $5 on it and you add $50 to it every month.
B. You have a gift card with $50 on it and you spend $5 every week.
C. You spend $50 on a gift card and it earns $5 in interest every week.
D. You have a gift card with $50 and you spend $50 total.
B. You have a gift card with $50 on it and you spend $5 every week.
500
Scenario: Abby starts a savings account with $150. Each week (x), she deposits an additional $25.50 into the account.
Write an equation to represent the relationship between the number of weeks, x, and the total balance in the account, y.
A. y = 25.50x + 150
B. y = 150x + 25.50
C. y = 175.50x
D. y = 25.50x - 150
A. y = 25.50x + 150