Outcomes
In this lesson you will
- examine the exponential function
when 
- examine the extreme left of the exponential function where x < 0 and x is an integer.
By the end of this section students will be able to:
- model real-world phenomena using exponential functions
- sketch graphs from descriptions, tables, and collected 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 of 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:
- calculations using exponents
- graphing technology