• I can write a polynomial function given a graph or a set of points. • I can write a polynomial function using fi nite differences. • I can use technology to fi nd a polynomial model for a set of data.

Jan 21, 2022 · To develop a model function that represents a physical situation, we almost always begin by drawing one or more diagrams of the situation and then introduce one or more variables to represent quantities that are changing. From there, we explore relationships that are present and work to express one of the quantities in terms of the other (s).

In this video, I’d like to show you how to use a graphing utility to model polynomial equations as well as identify the locations of maximum and minimum points on the graph. Graphing calculators are common in the Algebra 2 classroom.

In this lesson, you will learn how polynomials are used to solve problems outside the math classroom. Use technology to graph polynomial equations. Use the graphs of polynomial equations to find relative and absolute extrema. Use graphs of polynomial equations to solve word problems dealing with extrema.

In this module, we will demonstrate the use of graphing technology, by utilizing the Maple worksheet provided, to solve a real-life problem involving polynomial equations and inequalities.

In this chapter we will look at ways of modeling special functions using polynomials with an infinite sequence of terms. We will also discuss a general approach for solving impossible problems.

380 Chapter 6 Polynomials and Polynomial Functions Modeling with Polynomial Functions USING FINITE DIFFERENCES You know that two points determine a line and that three points determine a parabola. In Example 1 you will see that four points determine the graph of a cubic function. Writing a Cubic Function

Use your work in (c) to write A as a function of only r. d. What is the domain of A? Why? e. Explain why A is not a polynomial function of r.

Write polynomial functions for sets of points. Write polynomial functions using fi nite differences. Use technology to fi nd models for data sets. You know that two points determine a line and three points not on a line determine a parabola.

Create a scatterplot of volume versus height using technology. What type of polynomial function could we use to model the data? Use the regression feature to find a function to model the data.