Learning Resources

Outcomes

In this lesson you will

• Conduct an experiment and model the data using the exponential regression features on your graphing calculator.
• Examine the resulting equation and explore the relationship of a and b to the original data.

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

• Model real-world phenomena using exponential functions.
• Sketch graphs from descriptions, tables, and collect 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:

• How to generate a table of values from an experiment.
• How to graph a function using a table of values.
• How to use graphing technology to draw the graphs of functions.
• How to use the regression features on your graphing calculator.