Inverse, Exponential and Logarithmic Functions
Inverse, Exponential and Logarithmic Functions teaches students about three of the more commonly used functions, and uses problems to help students practice how to interpret and use them algebraically and graphically. Students can learn the properties and rules of these functions and how to use them in real world applications through word problems such as those involving compound interest and exponential growth and decay that they will find on their homework. Topics include:
- Definition of One-to-One Functions
- Definition of Inverse
- Finding an Inverse Algebraically
- Proving Two Functions are Inverses
- Finding an Inverse Graphically
- Exponential Functions and their Graphs
- Solving Exponential Equations with the 'Same' Base
- Introduction to Logarithms
- Solving Simple Logarithmic Equations
- Function Notation with Logs and Exponentials
- Graph of Logarithmic Functions
- Product Rule of Logarithms
- Quotient Rule of Logarithms
- Power Rule of Logarithms
- Expanding Logarithms
- Condensing Logarithms
- Common and Natural Logarithms
- Change of Base Formula
- Solving Exponential Equations with the Different Bases
- Solving a Logarithmic Equation
- Solving a Logarithmic Equation with Multiple Logs
- Compound Interest (Finite Number of Calculations)
- Compound Interest (Continuously)
- Exponential Growth and Decay
- Evaluating a Logarithmic Expression in terms of Known Quantities
158 videos
8h 25s
