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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