# Exponential Functions

Contributed by:
OBJECTIVES:
1. Define exponential functions.
2. Graph exponential functions.
3. Solve exponential equations of the form a^x = a^k for x.
4. Use exponential functions in applications involving growth or decay.
Sec 11.2 - 1
2. Chapter 11
Inverse, Exponential
and
Logarithmic Functions
Sec 11.2 - 2
3. 11.2
Exponential Functions
Sec 11.2 - 3
4. 11.2 Exponential Functions
Objectives
1. Define exponential functions.
2. Graph exponential functions.
x
3. Solve exponential equations of the form a
= ak for x.
4. Use exponential functions in applications
involving growth or decay.
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.
6. 11.2 Exponential Functions
Graphing Exponential Functions with a > 1
7. 11.2 Exponential Functions
Exponential Functions Defined
8. 11.2 Exponential Functions
Graphing Exponential Functions with a < 1
y decreases
as x gets larger
9. 11.2 Exponential Functions
Characteristics of the Exponential Graph
10. 11.2 Exponential Functions
Graphing More Complicated Exponential Functions
11. 11.2 Exponential Functions
Solving Exponential Equations
12. 11.2 Exponential Functions
Solving Exponential Equations
13. 11.2 Exponential Functions
Solving Exponential Equations
14. 11.2 Exponential Functions
Solving Exponential Equations