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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.
1.
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 11.2 - 1
2.
Chapter 11
Inverse, Exponential
and
Logarithmic Functions
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 11.2 - 2
3.
11.2
Exponential Functions
Copyright © 2010 Pearson Education, Inc. All rights reserved
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.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 4
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.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 5
6.
11.2 Exponential Functions
Graphing Exponential Functions with a > 1
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 6
7.
11.2 Exponential Functions
Exponential Functions Defined
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 7
8.
11.2 Exponential Functions
Graphing Exponential Functions with a < 1
y decreases
as x gets larger
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 8
9.
11.2 Exponential Functions
Characteristics of the Exponential Graph
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 9
10.
11.2 Exponential Functions
Graphing More Complicated Exponential Functions
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 10
11.
11.2 Exponential Functions
Solving Exponential Equations
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 11
12.
11.2 Exponential Functions
Solving Exponential Equations
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 12
13.
11.2 Exponential Functions
Solving Exponential Equations
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 13
14.
11.2 Exponential Functions
Solving Exponential Equations
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 14
15.
11.2 Exponential Functions
Applied Problems Involving Exponential Functions
This is the initial
amount injected
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 15
16.
11.2 Exponential Functions
Applied Problems Involving Exponential Functions
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 16
17.
11.2 Exponential Functions
Applied Problems Involving Exponential Functions
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 17
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