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# 8.1 Exploring Exponential Functions

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• 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?
• 2.
• 3. 8.1 Graphing 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. The exponential decay graph shows the expected depreciation for a car over four years. Estimate the value of the car after six years. Example 4 .