chapter 4
DESCRIPTION
Chapter 4. Exponential and Logarithmic Functions. Definition of Exponential Function. Properties of Exponents. Figure 4.3: Characteristics of the Exponential Functions y = a -x and y = a x ( a >1). Limit Definition of e. Figure 4.6: Types of Population Growth Models. - PowerPoint PPT PresentationTRANSCRIPT
Chapter 4
Exponential and Logarithmic Functions
Copyright © Houghton Mifflin Company. All rights reserved. 4 | 2
Definition of Exponential Function
Copyright © Houghton Mifflin Company. All rights reserved. 4 | 3
Properties of Exponents
Copyright © Houghton Mifflin Company. All rights reserved. 4 | 4
Figure 4.3: Characteristics of the Exponential Functions y = a-x and y = ax (a >1)
Copyright © Houghton Mifflin Company. All rights reserved. 4 | 5
Limit Definition of e
Copyright © Houghton Mifflin Company. All rights reserved. 4 | 6
Figure 4.6: Types ofPopulation Growth Models
Copyright © Houghton Mifflin Company. All rights reserved. 4 | 7
Summary ofCompound Interest Formulas
Copyright © Houghton Mifflin Company. All rights reserved. 4 | 8
Derivative of theNatural Exponential Function
Copyright © Houghton Mifflin Company. All rights reserved. 4 | 9
Definition of theNatural Logarithmic Function
Copyright © Houghton Mifflin Company. All rights reserved. 4 | 10
Figure 4.13
Copyright © Houghton Mifflin Company. All rights reserved. 4 | 11
Logarithmic Form/Exponential Form
Copyright © Houghton Mifflin Company. All rights reserved. 4 | 12
Inverse Propertiesof Logarithms and Exponents
Copyright © Houghton Mifflin Company. All rights reserved. 4 | 13
Properties of Logarithms
Copyright © Houghton Mifflin Company. All rights reserved. 4 | 14
Derivative of theNatural Logarithmic Function
Copyright © Houghton Mifflin Company. All rights reserved. 4 | 15
Other Bases and Differentiation
Copyright © Houghton Mifflin Company. All rights reserved. 4 | 16
Law of ExponentialGrowth and Decay
Copyright © Houghton Mifflin Company. All rights reserved. 4 | 17
Guidelines for ModelingExponential Growth and Decay