Chapter 4
Review
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This review is basically a check-off list of the important concepts and processes from chapter 4.
Section 4.1 ~ Exponential Functions
- Know the graph and properties of
 and  for base a > 1.
- Use the graph of
 to sketch related graphs of the form  .
- Perform calculator evaluations of
 for various bases and exponents.
- Use the natural exponential function
 in graphing and application problems.
- Know when to use the formula for compound interest vs formula for continuously compounded interest.
Section 4.2 ~ Logarithmic Functions
- Understand logarithmic functions are the inverse functions of exponential functions.
- Know the graph of
 and how it relates to the graph of  .
- Use properties to express exponential equations in logarithmic form and logarithmic functions in exponential form.
- Use curve sketching methods to sketch graphs related to
 .
- Perform calculator evaluations of
 for various bases a and positive values of x.
Section 4.3 ~ Logarithmic Equations and Identities
- Use the properties of logarithms to simplify expressions involving logarithms.
- Solve application problems and equations involving logarithms.
Section 4.4 ~ Exponential Equations & Applications
- Find exact solutions to equations with an unknown in an exponent.
- Find approximate solutions to equations involving exponential & logarithmic functions using a graphing calculator.
- Determine if a problem involves exponential growth or decay and find the corresponding equation to solve for an unknown.
Section 4.5 ~ Modeling with Exponential and Logarithmic Functions
- Construct exponential models for given data sets using two data points.
- Use the models to make predictions.
- Solve application problems using exponential models.
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