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.