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Suppose two mice live in a barn. If the number of mice quadruples every 4 months, how many mice will there be in 2 years?
8.1 Exploring
Exponential Functions
Exponential Functions
y = a∙bx
Where a = , b =
Used to model __________________
and _______________________
Example 1. Graph y = 2 ∙ 3x
x y
Example 2. Determine whether each function models
exponential growth or exponential decay. Then find the growth or decay factor.
a. y = 100(.12)x
b. y = 0.2(5)x
c. y = 16( ½ )x
Example 3.
In 2000, the annual rate of increase in US population was 1.24%.
c. Predict the population in 2015.
d. Why might this not be valid?
a. Find the growth rate.
b. Write a function to model the growth.
http://www.census.gov/population/www/popclockus.html
Example 4.Find an exponential model that includes
the points (2, 2) and (3, 4).
The exponential decay graph shows the expected depreciation for a car over four years. Estimate the value of the car after six years.
Example 5.
Assignment:
Pg. 426 #9, 10 – 22e, 32, 34, 38, 40, 54