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Exploring Other Function Models

Resources for this lesson:

You will use your Algebra II Journal opens in new window on this page.

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> Teacher Resources: Instructional Notes opens in new window

Why might a quadratic regression equation be a good fit for the data set?

Unlike linear and exponential functions, the quadratic function allows for a change in direction.

This graph is a scatter plot displaying the price (in dollars) per 1000 cubic feet of natural gasoline over a six month period.  The graph is titled 'Natural Gasoline Prices.'  The horizontal axis is labeled 'Month' and extends from negative 2 to 10.  The vertical axis is labeled 'Price (in dollars) per 1000 cubic feet' and extends from negative 2 to 18.  The graph displays the following ordered pairs:  (0, 16.09), (1, 14.40), (2, 12.26), (3, 10.29), (4, 9.13), (5, 9.41), and (6, 11.78).

In this data, the price of the natural gas shows a decrease, but after 4 months the price begins to rise.  This indicates that a quadratic model would be a better fit than a linear or exponential model.

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