Math 99
Math 99
Study Guide for 12.1-12.6:
In these sections, you learned…
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
2. Exponential Functions
• Define an exponential function
• Graph an exponential function
• Solve exponential equations of the form [pic] for x.
• Use exponential functions in applications involving growth or decay.
3. Logarithmic Functions
• Define a logarithm
• Convert between exponential and logarithmic forms
• Solve logarithmic equations of the form [pic] for a, b, or k.
• Define and graph logarithmic functions.
• Use logarithmic functions in applications involving growth or decay.
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
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
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
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