2. Inverse, Exponential and Logarithmic Functions
Chapter 11
Inverse, Exponential
and
Logarithmic Functions

3. Exponential Functions
11.2
Exponential Functions

4. 11.2 Exponential Functions
Objectives
Define exponential functions.
Graph exponential functions.
Solve exponential equations of the form ax = ak for x.
Use exponential functions in applications involving growth or decay.
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5. 11.2 Exponential Functions
Exponential Functions Defined
Exponential Function
For a > 0, a ≠ 1, for all real numbers x,
F(x) = ax
Defines the exponential function with base a.
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6. 11.2 Exponential Functions
Graphing Exponential Functions with a > 1
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7. 11.2 Exponential Functions
Exponential Functions Defined
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8. 11.2 Exponential Functions
Graphing Exponential Functions with a < 1
y decreases
as x gets larger
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9. 11.2 Exponential Functions
Characteristics of the Exponential Graph
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10. 11.2 Exponential Functions
Graphing More Complicated Exponential Functions
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11. 11.2 Exponential Functions
Solving Exponential Equations
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12. 11.2 Exponential Functions
Solving Exponential Equations
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13. 11.2 Exponential Functions
Solving Exponential Equations
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14. 11.2 Exponential Functions
Solving Exponential Equations
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15. 11.2 Exponential Functions
Applied Problems Involving Exponential Functions
This is the initial amount injected
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16. 11.2 Exponential Functions
Applied Problems Involving Exponential Functions
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17. 11.2 Exponential Functions
Applied Problems Involving Exponential Functions
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