Outcomes
In this lesson you will
- Use common differences and other techniques to identify quadratic relationships.
- Use modeling to construct functions that represent these quadratic relationships.
- Use graphing to determine maxima and minima of a quadratic function.
By the end of this section you should be able to:
- Model real-world phenomena using quadratic functions.
- Sketch graphs from descriptions, tables, and collected data.
- Analyze scatter plots, and determine and apply the equations for the curves of best fit, using appropriate technology.
- Describe and translate between graphical, tabular, written, and symbolic representations of quadratic relationships.
- Analyze tables and graphs to distinguish between linear, quadratic, and exponential relationships.
- Describe and interpret domains and ranges using set notation.
Prerequisites
To be successful in this lesson, it would be helpful to know the following:
- How to find first and second level differences for a set of data.
- How to use technology to graph linear and non linear functions and find the equations of the curve of best fit.
- How to use symbols to represent or model real-world relationships