Exponential and Logarithmic Functions (36 topics)

Graphing Exponential Functions (6 topics)

• Table for an exponential function
• Graphing an exponential function and its asymptote - f of x equals b to the x
• Graphing an exponential function and its asymptote - f of x = a times b to the x
• Graphing an exponential function and its asymptote - f of x equals b to the negative x
• The graph, domain, and range of an exponential function
• Graphing an exponential function and its asymptote - f of x equals a times e to the x minus b plus c

Applications of Exponential Functions (4 topics)

• Using a calculator to evaluate exponential expressions
• Evaluating an exponential function that models a real-world situation
• Using a calculator to evaluate exponential expressions involving base e
• Introduction to compound interest

Logarithmic Functions (7 topics)

• Using a calculator to evaluate natural and common logarithmic expressions
• Converting between logarithmic and exponential equations
• Converting between natural logarithmic and exponential equations
• Evaluating logarithmic expressions
• Solving an equation of the form logba equals c
• Graphing a logarithmic function - Basic
• The graph, domain, and range of a logarithmic function

Properties of Logarithms (6 topics)

• Basic properties of logarithms
• Using properties of logarithms to evaluate expressions
• Expanding a logarithmic expression - Problem type 1
• Expanding a logarithmic expression - Problem type 2
• Writing an expression as a single logarithm
• Change of base for logarithms - Problem type 1

Logarithmic and Exponential Equations (8 topics)

• Solving a multi-step equation involving a single logarithm - Problem type 1
• Solving a multi-step equation involving a single logarithm - Problem type 2
• Solving a multi-step equation involving natural logarithms
• Solving an equation involving logarithms on both sides - Problem type 1
• Solving an exponential equation by finding common bases - Linear exponents
• Solving an exponential equation by using natural logarithms - Decimal answers
• Solving an exponential equation by using logarithms - Decimal answers, advanced
• Solving an exponential equation by using logarithms - Exact answers in logarithmic form

Applications (5 topics)

• Finding the time to reach a limit in a word problem on exponential growth or decay
• Finding the time in a word problem on compound interest
• Finding the time given an exponential function with base e that models a real-world situation
• Finding the final amount in a word problem on continuous compound interest
• Finding half-life or doubling time