Math 104 Unit 3 Outline

Unit 3: Exponential and Logarithmic Functions

 

**Videos for nearly all these topics can be found by searching at: https://www.khanacademy.org/math.

 

5.0  Algebra Toolbox

  • What are the properties of exponents?  How do you use them to simplify expressions?

Homework: Page 312 #1-15 odd

 

5.1  Exponential Functions

  • What does an exponential function look like?  What does its graph look like?
  • What is a horizontal asymptote?  How does this apply to the graph of an exponential function?
  • How do you know if an exponential function represents growth or decay?
  • What is the number e?

Homework: Pages 323-326 #1, 3, 35, 37, 39, 43, 51

 

5.2  Logarithmic Functions; Properties of Logarithms

  • What is a logarithmic function?  How is it related to an exponential function?
  • What does the graph of a logarithmic function look like?
  • How do you evaluate logarithms?
  • What are the two special types of logarithms?
  • What are the properties of logarithms?

Homework: Pages 340-343 #1-11 odd, 15, 35, 37, 39, 69

 

5.3  Exponential and Logarithmic Equations

  • What is the basic strategy for solving an exponential equation?
  • What is the Change of Base formula?
  • What is the basic strategy for solving a logarithmic equation?

Homework: Page 353-356 #7, 9, 11, 17, 19, 25-31 odd, 41, 47, 67

 

5.7  Logistic and Gompertz Functions

  • What does a logistic function look like?  What does its graph look like?
  • How do you find the limiting value of a logistic function?
  • How do you model data using a logistic function?
  • What does a Gompertz function look like?

Homework: Pages 403-407 #1, 3, 5, 9, 13, 15, 29

 

5.4  Exponential and Logarithmic Models

  • How do you model data using an exponential or logarithmic function?

Homework: Page 370-372 #21, 29

 

5.5  Exponential Functions and Investing

  • How do you find the future value of an investment with periodic compounding?
  • How do you find the future value of an investment with continuous compounding?
  • How do you find the effective annual yield for an investment?

Homework: P. 384-386 #15, 19, 21, 25, 27, 33, 37, 41

 

Review for Test 3

 

TEST 3

 

Review for Final Exam

 

FINAL EXAM