8.1 Exponential Functions
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The document discusses exponential functions and provides examples of using them to model growth and decay scenarios. It asks how many mice there will be in a barn in 2 years if the number of mice quadruples every 4 months, beginning with 2 mice.
8.1 Exponential Functions
- 1. 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?
- 3. 8.1 Exploring Exponential Functions
- 4. Exponential Functions y = a ∙ b x Where a = , b = Used to model __________________ and _______________________
- 5. Example 1 . Graph y = 2 ∙ 3 x x y
- 6. Example 2. Determine whether each function models exponential growth or exponential decay. Then find the growth or decay factor. y = 100(.12) x y = 0.2(5) x y = 16( ½ ) x
- 7. Example 3. In 2000, the annual rate of increase in US population was 1.24%. Predict the population in 2015. Why might this not be valid? Find the growth rate. Write a function to model the growth. http://www.census.gov/population/www/popclockus.html
- 8. Example 4 . Find an exponential model that includes the points (2, 2) and (3, 4).
- 9. 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 .
- 10. Assignment: Pg. 426 #9, 10 – 22e, 32, 34, 38, 40, 54