Math 102/Chapter 6

Chapter 6: Exponential and Logarithmic Functions

Chapter 6: Exponential/Log Functions

• Composition functions
• One to one functions and inverse functions
• Exponential functions
• Logarithmic functions
• Properties of logs
• Log and exponential equations
• Financial models
• Exponential growth and decay
• Logistic growth and decay
• Building log/exp models

Chapter 6 Objectives

Section 6.1:

• Form a composite function
• Form the domain of a composite function

Section 6.2:

• Determine whether a function is one-to-one
• Determine the inverse of a ffunction defined yb a map or a set of ordered pairs
• Obtain the graph of the inverse funciton from the graph of the funcitno
• Find the inverse of a funciton defined by an equation

Section 6.3

• Evaluate exponential functions
• Grha exp functions
• Define e

8 Solve exponential equations

Section 6.4

• Change exp statements to log statements and log statements to exp statements
• Evaluate log expressions
• Determine domain of log function
• Graph log functions
• Solve log equations

Section 6.5:

• Work with the properties of logs
• Write a log expression as a sum or difference of logs
• Write a log expression as a single log
• Evaluate logs whose base is neither 10 nor e

Section 6.6:

• Solve log equations
• Solve exponential equations
• Solve log and exponential equations using a graphing utility

Section 6.7:

• Determine the future value of a lump sum of money
• Calculate effective rates of return
• Determine the present value of a lump sum of money
• Determine the rate of interest or time required to double a lump sum of money

Section 6.8:

• Find equations of populations obeying law of uninhibited growth
• Find equations of populations obeying law of decay
• Use Newton's Law of Cooling
• Use logistic models

Section 6.9:

• Build exp model from data
• Build log model from data
• build logistic model from data