Learning Resources

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Outcomes

In this lesson you will

  • Explore a real-world situation involving the cooling behaviour of a liquid.
  • Determine the equation of the function that models this real-world situation.
  • Work with transformations that are vertical slides of the original graph.

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 collect data from an investigation and record it in tabular form.
  • 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.