Outcomes
In this lesson you will
- collect data regarding the cooling of a liquid and discover that an equation of the form
must be used to model this situation
- discover how the horizontal asymptote for an exponential function may differ
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
- describe and translate between graphical, tabular, written, and symbolic representations of exponential and logarithmic relationships
- demonstrate an understanding of how parameter changes affect the graphs of exponential functions
- analyze scatter plots, and determine and apply the equations for the curves of best fit, using appropriate technology
- demonstrate an understanding of the role of real numbers in exponential and logarithmic expressions and equations
- analyze and describe the characteristics of exponential and logarithmic functions
Prerequisites
To be successful in this lesson, it would be helpful to know the following:
- vertical stretch, horizontal stretch, vertical translation
- using regression features on graphing technology