Exponential and Logarithmic Functions

Exponential and Logarithmic Functions

1. Graphing

   • graph transformations of exponential functions
     • graph logarithmic functions using the rules of transformations
   • graph basic logarithmic functions without the use of a calculator
   • solve exponential equations graphically

2. Solving

   • solve logarithmic equations
   • solve exponential equations analysitcally
   • solve exponential equations graphically

3. Evaluating

   • write models for exponential growth and decay
   • represent logarithmic functions symbolically, graphically, and numerically
   • convert between equivalent exponential and logarithmic form
   • evaluate logarithmic expression without the use of technology
     • evaluate logarithms with no technology
   • use the change of base rule to evaluate logs with a base other than 10 or e

4. Interpreting

   • interpret the components of exponential functions modeling with real world situations
   • apply formulas for compound interest and continuous compound interest
   • explain the relationship between an exponential and logarithmic function
   • apply the properties of logs to rewrite expressions
   • determine if the best-fit model is exponential, logarithmic, or a polynomial functions and find the model

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