Learning Resources

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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