Chapter 7  Polynomial Models
"This chapter provides opportunities for students to solve polynomial inequalities algebraically and graphically. Lessons present various problem situations and ask students to use a graphing calculator to determine the polynomial regression function that best models the data. Students then use their regression functions to answer questions. Piecewise functions are introduced for situations where a single polynomial function is not the most appropriate model for a set of data. At the end of the chapter, the lesson provides opportunities for students to compare properties of two functions each represented in a different way. Questions present functions that are represented using a graph, table of values, equation, or description of its key characteristics."
Carnegie Textbook 
"Price changes for unleaded and diesel gas are difficult to model with simple functions from year to year."

Lesson 7.1  Solving Polynomial Inequalities
"This lesson presents a realworld situation represented by a fourth degree function for students to explore intervals where the function is greater than, less than, or equal to zero. "  Carnegie Textbook Lesson 7.2  Modeling with Polynomials
"This lesson provides opportunities for students to determine the appropriate regression equation to model various problem situations."  Carnegie Textbook Lesson 7.3  Piecewise Functions
"This lesson provides opportunities for students to understand that sometimes a single polynomial function is not the most appropriate model for a set of data. "  Carnegie Textbook 
Lesson 7.4  Modeling Polynomial Data
"This lesson provides opportunities for students to analyze data and use a graphing calculator to determine the regression function that best models the data. Students will use their regression functions to answer questions."  Carnegie Textbook Lesson 7.5  Comparing Polynomials in Different Representations
"This lesson provides opportunities for students to compare properties of two functions each represented in a different way. Questions present functions that are represented using a graph, table of values, equation, or description of its key characteristics."  Carnegie Textbook 