Linear
Exponential
Domain and
Range
Range
Function Notation/ Composite
100
Write the linear equation for Carlea's event business. She charges a $50 flat-fee plus an additional $25 per hour of set up.
f(x)=50+25x
100
A scientist starts with 100 bacteria cells at hour 0. The population of bacteria doubles every hour. Write an exponential equation where f(x) represents the population of bacteria per x hours.
f(x)=100(2)^x
100
Sarah is going to the fair and has $20. It costs $4 per ride at the fair. The function f(x) represents the cost per x games that Sarah plays. State the domain and range for this relationship
D: {0, 1, 2, 3, 4, 5}
R: {0, 4, 8, 12, 16, 20}
100
If f(x) represents the price per x t-shirts interpret what f(5)=25 means.
5 t-shirts costs $25
200
Carly rents a boat for 4 hours for a total cost of $90.
Jake rents a boat for 5 hours for a total cost of $105.
If they rented from the same company, write a linear equation that represents the total cost of renting x hours.
f(x)=30+15x
200
Your tiktok is starting to go viral! You start on Day 1 with 600 views. Each day the number of views triples! Write an equation representing the number of views v(x) per x days.
(Make a table to find out the views on "Day 0"
v(x)=200(3)^x
200
A school club sells tickets to a formal dance for $5 each. An individual student can purchase no more than 4 tickets. What is the practical range of the function representing total cost C(x) per x amount of tickets sold to an individual?
Is this discrete or continuous data?
D: {0, 1, 2, 3, 4}
R: {0, 5, 10, 15, 20}
Discrete
200
f(x)=x-3
g(x)=2x^2-4
f(g(4))
f(g(4))=25
300
Tony used a ride share app to travel 5 miles. His total cost was $35. Ellie used the same ride share app and travelled 10 miles. Her total cost was $60. Write a linear function that gives the total cost using the ride share for x miles.
f(x)=5x+10
300
A population of bacteria begins with 400 cells. Due to an infectant, the bacteria loses a third of its population every hour. Write an equation that represents the population p(x) after x hours.
p(x)=400(2/3)^x
300
A taxi service charges a base fee of $5.00 plus $2.00 per mile driven. Due to company shift rules, a single taxi cannot drive more than 150 miles on a shift before returning to the depot. What is the practical domain of the cost function C(m) with respect to the number of miles driven m?
D: 0<=x<=150
R: 5<=y<=305
300
h(x)=3x-7
g(x)=2x^2-5
Evaluate g(h(4))
g(h(4))=45
400
Charlie worked 2.5 hours and received $55.
Blaire worked 7 hours and received $109.
They both work at the same construction company. The company gives a base pay for showing up plus an hourly wage. Find the equation that represents the pay per hour.
y=25+12x
400
You drink an energy drink containing 200 mg of caffeine. The human body eliminates caffeine exponentially, breaking down 12% of the chemical every hour (retaining 88% per hour). Write an exponential equation where C(x) is the amount of caffeine left after x hours.
C(x)=200(0.88)^x
400
f(x)=4-x
g(x)=x^2+3x-5
f(g(x))
f(g(x))=-x^2-3x+9
500
A community pool containing 5,000 gallons of water is being drained at a constant rate of 50 gallons per minute.
1. Graph this situation
2. State the domain and range.
D: 0<=x<=100
R: 0<=y<=5000
500
f(x)=x-2
g(x)=x^2+2x-5
evaluate g(f(x))
x^2-2x-5