1. 8-2: Exponential Decay Objective Ca Standard 12: Students know the laws of fractional exponents, understand exponential functions and use these functions in problems involving exponential growth and decay

3. Example 1: Recognizing Exponential Growth and Decay State whether f(x) is exponential growth or decay Exponential decay 0 < b< 1 Exponential growth b > 1 Exponential decay 0 < b < 1

4. To see the basic shape of the graph of an exponential decay function: 1. Make a table of values 2. Plot the points.

5. x -3 -2 0 1

6. What is the end behavior of the graph?

7. What is the asymptote? The line y = 0 What is the domain of this function? All real numbers What is the range of this function? y > 0

8. To graph a general exponential function Graph Then translate graph horizontally by h units to the 2 left and k units up 1

9. x -2-12-6 0-3 1-3/2

11. xx-2-12-4-11-6-3-5 0-3-2 1-3/2-1/2

12. The domain is all real numbers. The range is y < 1.

13. Homework: Page 477: #11-17 Odd, #35-41 Odd Table of Values needed for credit

14. Example 2: Graphing Exponential Functions of the form

15. x -24812 03 13/4

17. x-2-18-6 0-2 1-2/3

18. Plot the points: