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