MathWiz

This is a unit on Exponential Growth and Decay in PDF form. It contains notes, investigation activities and assignments. Some activities involve exponential regression and require technology. An answer key is provided for all activities and assignments Topics include: Exponential Growth Exponential Decay The sample preview file (8 pages) contains the table of contents, notes and a few sample assignments. Permission is given to copy notes, activities and assignments for class use.

Determining the volume of revolution formed by two functions using washers. Revolutions about the x-axis, y-axis, other horizontal and vertical lines. Includes notes, worked examples and practice questions.

Determining the volume of revolution using discs. Includes notes diagrams, worked examples and practice questions. Volumes revolved around the x-axis, y-axis and other horizontal and vertical axes.

Determining volumes of revolution using cylindrical shells.

Notes and investigations on exponential functions including exponent rules, transformations of exponential functions, growth and decay models and using exponential functions to model real world phenomena.

Discussion of the logarithmic function, laws of logarithms, solving logarithmic equations, practical applications of logarithms, log -log modelling. Includes notes, examples practice test.

Using rational functions to model a cost-benefit example. Using graphing skills and investigating long term (asymptotic) behavior of a rational function.

Two activities that allow students to model real world phenomena with rational functions. Activities require graphing, use of tables discussion of asymptotic behaviour.

Graphical addition, subtraction, multiplication and division of functions are discussed. Practice questions are given. Answers can be derived using Desmos.

Determining if a function is even or odd. Examples and practice exercises.

Answers to some of the questions from graphical addition, subtraction, multiplication and division of functions.