Learning Resources

Outcomes

In this lesson you will

• Examine the graphs of exponential functions of the form and determine what happens when .

By the end of this section you should be able to:

• Model real world phenomena using exponential growth.
• Sketch graphs from descriptions, tables, and collect data.
• Demonstrate an intuitive understanding of the recursive nature of exponential growth.
• Demonstrate an understanding of patterns that are arithmetic, power, and geometric, and relate them to corresponding functions.
• Analyze tables and graphs to distinguish between linear, quadratic, and exponential relationships.
• Describe and interpret domains and ranges using set notation.
• Analyze and describe the characteristics of exponential and logarithmic functions.
• Demonstrate an Understanding of the role or real numbers in exponential and logarithmic expressions and equations.
• Apply real number exponents in expressions and equations.

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

• How to analyze graphs to gain specific information.
• The terminology associated with and how to work with powers.
• How to use graphing technology.
• The concept of the domain and range of a function.