Chapter 10: Functions

Video Lessons

1. Graphing Exponential Functions
2. Solving Exponential Equations by Obtaining a Common Base

Video Examples

1. Ex:  Determine Exponential Graphs that Have Specific Characteristics - y = ab^x
2. Ex:  Match Exponential Functions to Graphs
3. Ex: Exponential Application Solved Using a Graphing Calculator
4. Ex 1:  Solve Exponential Equations Using Like Bases - No Logarithms
5. Ex 2:  Solve Exponential Equations Using Like Bases - No Logarithms
6. Ex 3:  Solve Exponential Equations Using Like Bases - No Logarithms
7. Ex 4:  Solve Exponential Equations Using Like Bases - No Logarithms
8. Ex 5:  Solve Exponential Equations Using Like Bases - No Logarithms
9. Ex 6:  Solve Exponential Equations Using Like Bases - No Logarithms
10. Ex:  Solve an Exponential Equation Graphically on the TI84

Video Lessons

1. Introduction to Logarithms
2. Ex:  Graph an Exponential Function and Logarithmic Function

Video Examples

1. Ex:  Write Exponential Equations as Logarithmic Equations
2. Ex:  Write Logarithmic Equations as Exponential Equations
3. Ex:  Write Exponential Equations with base 10 as Common Logarithmic Equations
4. Ex:  Write Exponential Equations as Logarithmic Equations - Natural Logarithms
5. Ex 1:  Match Graphs with Exponential and Logarithmic Functions
6. Ex 2:  Match Graphs with Exponential and Logarithmic Functions - Base 10 and e
7. Ex:  Vertical Asymptotes and Domain of Logarithmic Functions
8. Ex:  Find the Domain of Logarithmic Functions

Video Lessons

1. Properties of Logarithms
2. Logarithm Review
3. Logarithms: Change of Base Formula

Video Examples

1. Ex 1:  Expand Logarithmic Expressions
2. Ex 2:  Expand Logarithmic Expressions
3. Ex 1:  Combine a Logarithmic Expression Into One Logarithm
4. Ex 2:  Combine a Logarithmic Expression Into One Logarithm
5. Ex 1:  Evaluate a Logarithmic Expression Using the Properties of Logarithms
6. Ex 2:  Evaluate a Logarithmic Expression Using the Properties of Logarithms
7. Ex:  Simplify Log Expression with the Base and Base of the Number are the Same
8. Ex:  Evaluate Exponential Expressions with Logarithmic Exponents

Video Lessons

1. Solving Exponential Equations Using Logarithms
2. Solving Logarithmic Equations

Video Examples

1. Ex 1:  Solve Exponential Equations Using Logarithms
2. Ex 2:  Solve Exponential Equations Using Logarithms
3. Ex 3:  Solve Exponential Equations Using Logarithms
4. Ex 4:  Solve Exponential Equations Using Logarithms
5. Ex 5:  Solve Exponential Equations with Two Exponential Parts Using Logarithms
6. Ex 1:  Solve Basic Logarithmic Equations
7. Ex 2:  Solve Logarithmic Equations
8. Ex 3:  Solve Logarithmic Equations - Base and Number are the Same
9. Ex 1:  Solve Logarithmic Equations
10. Ex 2:  Solve Logarithmic Equations
11. Ex 3:  Solve Logarithmic Equations
12. Ex:  Solve a Logarithmic Equation - Composite Log Expression
13. Ex:  Solve a Logarithmic Equation in Terms of Other Variables

Video Lessons

1. Compounded Interest
2. Ex 1:  Continuous Interest

Video Examples

1. Ex 1:  Compounded Interest – Quarterly
2. Ex 2:  Compounded Interest with Logarithms
3. Ex 2:  Continuous Interest with Logarithms
4. Ex 3:  Continuous Interest with Logarithms and Doubling Time

Video Lessons

1. Exponential Growth:  Part 1, Part 2
2. Exponential Decay:  Part 1, Part 2

Video Examples

1. Ex:  Use a Given Exponential Growth Function
2. Ex:  Exponential Growth Function - Population
3. Ex:  Exponential Growth Function - Bacterial Growth
4. Ex:  Exponential Decay Function with Logarithms
5. Ex:  Exponential Decay Function - Half Life

Video Examples

1. Ex:  Logarithmic Function Application - Test Scores
2. Ex:  Logarithm Application - pH