1. 1.3 Exponential Functions

2. Slide 1- 2 Exponential Function

3. Slide 1- 3 Rules for Exponents

4. Slide 1- 4 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.

5. Slide 1- 5 Exponential Growth and Exponential Decay

6. Ex: The half-life of a certain radioactive substance is 14 days. There are 6.6 g present initially. A. Express the amount of substance remaining as a function of time t. B. When will there be 1g remaining?

7. Slide 1- 7 The Number e

8. Slide 1- 8 The Number e

9. Do example 5 on page 25

10. Hwk: p. 26, #1-17 e.o.o. 19,21,25,33,39,41-46