Test 3 Topics
Chapter 3, 4.1 and 4.2

Section 3.1: Introduction to the Family of Exponential Functions

• Growth Factors and Growth Rates

• Decay Factors and Decay Rates

• The Definition of an exponential Function

Section 3.2: Comparing Exponential and Linear Functions

• How to determine when a function is linear

• How to determine when a function is exponential

• Finding formulas for exponential functions

Section 3.3: Graphs of Exponential Functions

• The possible appearances of the graphs of exponential functions

• The effect of the initial value on the appearance of the graph of an exponential function

• The effect of the growth factor (or decay factor) on the appearance of the graph of an exponential function

• Why exponential functions have horizontal asymptotes

Section 3.4: Continuous Growth and the Number e

• Basic facts about the number e

• Continuous growth rates

• Compound interest

Chapter 3 Review Problems, pg 132 - 1, 3, 15, 17, 25, 37, 39

Section 4.1: Logarithms and their Properties

• Using logarithms to solve exponential equations

• The definition of the logarithm function

• The equivalence of exponential and logarithmic expressions

• The inverse relationship between y = log(x) and y = 10^x

Section 4.2: Logarithms and Exponential Models

• Using logs to determine doubling time and half-life for exponential models

• Conversion between different bases in exponential functions

Section 4.3: The Logarithmic Function

• Definition of the common log function

• Domain and range of the common log function

• Asymptotes of the common log function

• The graph of the common log function

• Applications of logarithms to sound and pH levels

Chapter 4 Review Problems, pg 176 - 1, 3, 7, 9, 13, 15, 29, 31, 33