Exponential Functions Chapter 1.3. The Exponential Function 2.

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Presentation transcript:

Exponential Functions Chapter 1.3

The Exponential Function 2

3

Example 1: Graphing an Exponential Function 4

5

6

Example 2: Finding Zeros 7

8

9

Rules for Exponents 10

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 YearPopulation (millions)Ratio

Example 3: Predicating United States Population 12

Exponential Decay 13

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

Example 4: Modeling Radioactive Decay 15

Exponential Change 16

Example 5: Predicting U.S. Population Use the population data in the table below to estimate the population for the year Compare the results with the actual 2000 population of approximately million. YearPopulation (millions)

Example 5: Predicting U.S. Population 18

Example 6: Interpreting Exponential Regression 19

The Number e 20

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