1. Exponential and Logistic Functions
Demana, Waits, Foley, Kennedy
3.1
Exponential and Logistic Functions

2. What you’ll learn about
Exponential Functions and Their Graphs
The Natural Base e
Logistic Functions and Their Graphs
Population Models
… and why
Exponential and logistic functions model many growth
patterns, including the growth of human and animal
populations.

3. Exponential Functions

4. Example Finding an Exponential Function from its Table of Values

5. Example Finding an Exponential Function from its Table of Values

6. Exponential Growth and Decay
What is this saying??

7. Example: Transforming Exponential Functions

8. Solution

9. Solution

10. Solution

11. The Natural Base e
If you had $1 and comounded it at 100% interest, how much would you have after one year if it were compounded; Monthly, weekly, daily, by the minute, by the second, or continuously???

12. Exponential Functions and the Base e
Interpret this

13. Changing to base e

14. Exponential Functions and the Base e
Exponential Growth
Exponential Decay

15. Example: Transforming Exponential Functions

16. Solution

17. Solution

18. Solution

19. Logistic Growth Functions

20. Homework
From textbook: 3.1 page 361, know