1. Exponential Functions
Chapter 1
Prerequisites for Calculus
Section 1.3
Exponential Functions

2. Bellwork

3. Quick Review Solutions

4. What you’ll learn about
Exponential functions
Rules of exponents
Applications of exponential functions (growth and decay)
Compound interest
The number e
…and why
Exponential functions model many growth patterns.

5. Exponential Function

6. Exponential Growth

7. Exponential Growth

8. Rules for Exponents

9. Half-life
Exponential functions can also model phenomena that produce decrease over time, such as happens with radioactive decay. The half-life of a radioactive substance is the amount of time it takes for half of the substance to change from its original radioactive state to a non-radioactive state by emitting energy in the form of radiation.

10. Exponential Growth and Exponential Decay

11. Example Finding Zeros

12. Compound Interest Formula
If an account begins with principal P and earns an annual interest rate r compounded n times per year, then the value of the account in t years is

13. The Number e

14. The Number e

15. Example The Number e

16. Example The Number e

17. Continuously Compounded Interest Formula
If an account begins with principal P and earns an annual interest rate r compounded continuously, then the value of the account in t years is

18. Homework
Section 1.3: 2,4,10, 12, 14, 16, 40, 44

19. Quick Quiz Sections 1.1 – 1.3

20. Quick Quiz Sections 1.1 – 1.3

21. Quick Quiz Sections 1.1 – 1.3

22. Quick Quiz Sections 1.1 – 1.3

23. Quick Quiz Sections 1.1 – 1.3

24. Quick Quiz Sections 1.1 – 1.3