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 .