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.

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

5. Example 1 . Graph y = 2 ∙ 3 x x y

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 .