Definitions
What type of function is f(x) = abx?
Exponential Function
y = 4x + 1
Linear
Find the final amount of a $200 investment after 10 years at 8% of interest.
$360
The population of Manhattan starts off at 20,000, and grows by 13% each year. Write an exponential growth model to find the population after a certain number of years.
What is y = 20,000(1+.13)10
Convert 149% to a decimal.
1.49
Type of exponential function when 0 < b < 1
Exponential Decay
Quadratic
Find final amount of a $100 investment after 10 years at 5% interest compounded annually.
$262.88
Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.
What is y= 422,000(1+.12)t
Find growth FACTOR if a population grows every year by 25%
1.25
Type of exponential function when 1 < b
Exponential Growth
y = 9x2 + 2
Quadratic
For y = 9.8(1.35)t What is the growth factor?
1.35
The fish in The Magic Forest Lake were declining at an annual rate at 1.5%. Their current number is estimated at 2500. Write an equation to model the decreasing number of fish.
What is y = 2500(0.985)x
Find growth FACTOR if a population decays every year by 25%
0.75
Write the definition of an asymptote.
An invisible line that the graph approaches but never actually touches.
Is y = 2(2.5)x exponential growth or decay?
Growth
For y = 14(1.035)^t What is the percentage of growth?
3.5%
The Hippityhoppity bunny decided to have a family reunion at the Magic Forest every 5 years. During the second reunion the family discovered that the number of family members was 154 and was growing at an annual rate of 3.2%. Write an equation to model the growth of the bunny family.
What is y = 154(1+.032)^x
Find growth factor if a population doubles (increases by 100%) every year.
2
Domain covers all possible x-values of the graph and range covers all possible y-values of the graph.
Is y = 7(1/3)x exponential growth or decay?
Decay
Find a bank account balance if the account starts with $100, has an annual compound interest rate of 4%, and the money left in the account for 12 years
$260.10
The population of Baconburg starts off at 20,000, and grows by 13% each year. Write an exponential growth model and find the population after 10 years.
What is y = 20,000(1+.13)^10 and population of 67,891
Find growth RATE if a population grows every year by 100%.
1