1. Exponential Functions Chapter 1.3

2. The Exponential Function 2

3. 3

4. Example 1: Graphing an Exponential Function 4

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7. Example 2: Finding Zeros 7

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9. 9

10. Rules for Exponents 10

11. Example 3: Predicating United States Population Use the data in the table below and an exponential model to predict the population of the United States in the year 2010. YearPopulation (millions)Ratio 2002287.9 2003290.4 2004293.2 2005295.9 2006298.8 2007301.6 11

12. Example 3: Predicating United States Population 12

13. Exponential Decay 13

14. Example 4: Modeling 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 substance remaining? 14

15. Example 4: Modeling Radioactive Decay 15

16. Exponential Change 16

17. Example 5: Predicting U.S. Population Use the population data in the table below to estimate the population for the year 2000. Compare the results with the actual 2000 population of approximately 281.4 million. YearPopulation (millions) 188050.2 189063.0 190076.2 191092.2 1920106.0 1930123.2 1940132.1 1950151.3 1960179.3 1970203.3 1980226.5 1990248.7 17

18. Example 5: Predicting U.S. Population 18

19. Example 6: Interpreting Exponential Regression 19

20. The Number e 20

21. Exercise 1.3 Page 26, #1-18, 19-31 odds, 39, 40 21