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Section 4.1 Exponential Functions. Example Graphing Exponential Functions.

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Presentation on theme: "Section 4.1 Exponential Functions. Example Graphing Exponential Functions."— Presentation transcript:

1 Section 4.1 Exponential Functions

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3 Example

4 Graphing Exponential Functions

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6 Example

7 Transformations of Exponential Functions

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9 Example

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13 Graph the following…

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23 Entrance Slip Graph the following… 1)2)3)

24 The Natural Base e

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26 Example

27 Graph the following

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29 Compound Interest

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32 Continuous Compounding of Interest

33 Example

34 Examples EX: $12,000 is invested at an annual rate of 9%. Find the balance after 5 years if the interest is compounded quarterly, monthly, continuously.

35 Radioactive Decay The Chernobyl nuclear reactor in the Soviet Union experienced a accidental discharge of highly toxic radioactive chemicals in 1986. The model for the decay of the Plutonium in the area is modeled by the following equation which represents the amount of plutonium remaining after t years. How much of the 10 pounds is still remaining. How much will remain in 100,000 years? Sketch a graph showing a time lapse of the remaining plutonium.

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