Outcomes
In this lesson you will
- encounter a real-world phenomenon where the doubling time is not every year but every six years
- determine the equation of the function that models the situation
- discover horizontal stretches
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:
- the significance of the values of a and b in exponential functions of the form

- common ratio and its significance in the exponential function