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.
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
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