Learning Resources
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.