Sequences
Domain and Range
Graphs and Tables
Growth and Decay
Word Problems
Bonus
100
Which kind of sequence has a common ratio?
geometric sequence
100
What is the range of this function?
y > 0
100
Identify the type of function.
exponential
100
Growth or decay
growth
100
Write an equation for this problem:
A population of 1200 bacteria is doubling each day for x days.
y = 1200(2)x
200
What is the next term in the sequence 12, 31, 40, 49, ... ?
58
200
What is the domain of f(x) = 5x?
all real numbers
200
What is the equation for this graph?
y = 2(3)x
200
This is an example of: f(x)= 25 (0.20)x .
exponential decay
200
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
4309
200
What is the equation of the horizontal asymptote for following exponential function?
y = -2
300
For the sequence, state if it is arithmetic, geometric, or neither.
−34, −26, −18, −10, −2, ...
arithmetic
300
What is the domain of the function?
x > -2
300
Identify the initial value of the function.
(0, 200)
300
Growth or decay: f(x)=3(5/2)x
exponential growth
300
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?
$361,223
300
What kind of shift is represented?
horizontal shift to the right 1 unit
400
What is the 9th term in a geometric sequence with a common ratio of 2 and a first term of 3?
768
400
The current value of a used car is $10,000. The value of the car depreciates (decreases) by 25% each year. If the value of the car is represented by y=10000(0.75)x , what is the range?
0 < y ≤ 10000
400
Write the function of the table.
f(x) = 2(5)x
400
In the function y=0.3(1.083)x, what is my growth factor?
8.3%
400
You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine?
between 19 and 20 hours
400
Describe the transformation of the graph
f(x) = 2x ----> g(x) = (2)x + 6
vertical shift up 6 units
500
Daisy received $2 on her first birthday. Each year, the amount of money she received tripled. How much money will she receive on her 5th birthday?
$162
500
Your student savings account at Chase Bank has an initial value of $250. The account account gains 4% interest, compound annually. The amount in the savings account can be represented by f(x)=250(1.04)x. Identify the domain.
x ≥ 0
500
What is the x-intercept of the function?
There is no x intercept.
500
A flea medicine breaks down at a rate of 20% per hour. The initial dose is 60 milligrams. Write a function to represent the equation that models the amount of flea medicine left in an animal.
f(x) = 60(.8)x
500
Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?
$33,299.42