This lesson on Exponential Functions provides students with a clear and structured introduction to one of the most important concepts in algebra/pre-calculus. The resource is organized into three sections: 7-1 Characteristics of Exponential Functions, where students explore growth, decay, domain, range, and asymptotes; 7-2 Transformations of Exponential Functions, which helps students understand how parameters affect the graph of an exponential function; and 7-3 Solving Exponential Equations, where students apply algebraic strategies to find unknown values. The presentation contains numerous subtopics and is designed to guide students step-by-step through the material with clear illustrations, worked examples, practice questions, and exercises. With 134 slides, this comprehensive resource supports instruction, guided practice, and student understanding of exponential models and equations.

Objectives:

7-1: Characteristics of Exponential Functions

• Analysing graphs of exponential functions.
• Solving problems that involve exponential growth or decay.

7-2: Transformations of Exponential Functions

• Applying translations, stretches, and reflections to the graphs of exponential functions.
• Representing these transformations in the equations of exponential functions.
• Solving problems that involve exponential growth or decay.

7-3: Solving Exponential Equations

• Determining the solution of an exponential equation in which the bases are powers of one another.
• Solving problems that involve exponential growth or decay.
• Solving problems that involve the application of exponential equations to loans, mortgages, and investments.