1. Exponential Functions o Work on Exploration 1: Exponential Functions page 22 o Definition of Exponential Function o Graphs of Exponential Growth & Decay o Applications o Rules for Exponents o Quick Review Problem 1.3

2. Exploration 1: Exponential Functions Please work on the exploration on page 22 in your textbooks.

3. Analyzing Exponential Functions Answer questions 1, 2, & 3

4. Analyzing Exponential Functions Answer question 6

5. Exponential Function If, then defines the exponential function with base a and exponent x.

6. Characteristics of Exponential Functions HA y=0 a>1 function is increasing 0<a<1 function is decreasing Domain: Range:

7. Ex 1: Find the domain and range.

8. Ex 2: Find the zeros of You should be able to answer this question using  Graphing – Math:Zeros  Algebraically  Numerically – Graphing Calc (solve, zeros)

9. Ex 3: Applications – Radioactive Decay Suppose the half-life of a certain radioactive substance is 20 days and that there are 5 grams present initially. When will there be only 1 gram of the substance remaining?

10. Applications – Compound Interest Compounded Interest Interest Compounded Continuously

11. Determine how much time is required for an investment to double in value if interest is earned at the rate of 6.25%  A) compounded monthly.  B) compounded continuously. Ex 3: Applications – Compound Interest

12. Review from Algebra 1 & 2 Refresh your memory on the rules of exponents on page 23. Look at the problems in the Quick Review 1.3 on page 26. Do you have any questions??