Math 99
Study Guide for 12.1-12.6:
In these sections, you learned…
12.1 Inverse Functions
 Decide whether a function is one-to-one, and if it is fund its inverse
 Use the horizontal line test to determine whether a function is one-to-one
 Find the equation of the inverse of a function
 Graph f-1 from the graph of f
12.2 Exponential Functions
 Define an exponential function
 Graph an exponential function
 Solve exponential equations of the form a x  a k for x.
 Use exponential functions in applications involving growth or decay.
12.3 Logarithmic Functions
 Define a logarithm
 Convert between exponential and logarithmic forms
 Solve logarithmic equations of the form log a b  k for a, b, or k.
 Define and graph logarithmic functions.
 Use logarithmic functions in applications involving growth or decay.
12.4 Properties of Logarithms
 Use the product rule for logarithms
 Use the quotient rule for logarithms
 Use the power rule for logarithms
 Use properties to write alternative forms of logarithmic expressions
12.5 Common and Natural Logarithms
 Evaluate common logarithms using a calculator
 Use common logarithms in applications
 Evaluate natural logarithms using a calculator
 Use natural logarithms in applications
 Use the change-of-base rule
12.6 Exponential and Logarithmic Equations; Further Applications
 Solve equations involving variables in the exponents
 Solve equations involving logarithms
 Solve applications of compound interest
 Solve applications involving exponential growth and decay