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Exponential Logistic Functions

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#### Presentation Transcript

**1. **Exponential & Logistic Functions Today you will examine exponential functions and identify and graph exponential and logistic functions.

**2. **What You’ll Learn About Exponential Functions and Their Graphs
The Natural Base e
Logistic Functions and Their Graphs
Population Models
Why?
Exponential and Logistic functions model many growth patterns, including the growth of human and animal populations.

**3. **What are Exponential Functions?

**4. **Identifying Exponential Functions Which of the following are exponential functions? For those that are exponential functions, state the initial value and the base. For those that are not, explain why not.

**5. **Finding an Exponential Function from its Table of Values

**6. **Determine a formula for the exponential function whose values are given.

**7. **Determine a formula for the exponential function whose graph is given.

**10. **Summary of Exponential Functions

**11. **Transforming Exponential Functions

**12. **Transformation of

**13. **Transforming Exponential Functions

**14. **Transformation of

**15. **Transforming Exponential Functions

**16. **Transformation of

**17. **The Exponential Function

**18. **Transforming Exponential Functions

**19. **Transforming Exponential Functions

**20. **Recap How do you tell if a function is exponential?
How do you determine a formula for an exponential function given a table of values? The graph?
Describe some characteristics of the graph of an exponential function.
How do you determine transformations of exponential functions?

**21. **Assignment A 4.10 Sect I
pgs. 286 – 287
#1-6, 11, 13, 19, 23, 39, 40, and 53.