Lesson #1 Introduction and Sections 3.1 & 3.2

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Presentation transcript:

Lesson #1 Introduction and Sections 3.1 & 3.2 Precalculus MAC 2140-64037 Fall 2008 Lesson #1 Introduction and Sections 3.1 & 3.2 First Class MAC 2140-64037 7/13/2019

Introduction My name is Doug Jones. I welcome you to Precalculus. I have a Web Page. It is http://faculty.tcc.fl.edu/scma/jonesd and it contains just about everything you need to know regarding the mechanics of this course. As you can see from the pacing schedule, we have a lot of work to do and only 28 class periods in which to do it! So let’s get started! First Class MAC 2140-64037 7/13/2019

SOLUTION TO THE REAL WORLD PROBLEM But First . . . . A word about MODELS. . . MATHEMATICAL MODELS! REAL WORLD PROBLEM MATHEMATICAL PROBLEM ? SOLUTION TO THE REAL WORLD PROBLEM SOLUTION TO THE MATHEMATICAL PROBLEM First Class MAC 2140-64037 7/13/2019

Section 3.1: Polynomial Functions and Their Graphs … pp. 250-265 There are eight (8) topics to be covered in this section. Definition of Polynomial Function Graphs of Polynomials End Behavior and Leading Term Using Zeros to Graph Polynomials Intermediate Value Theorem for Polynomials Guidelines for Graphing Polynomial Functions The Shape of a Graph Near a Zero of Multiplicity n Local Extrema of Polynomials First Class MAC 2140-64037 7/13/2019

Section 3.2: Dividing Polynomials … pp. 265-272 There are three (3) topics to be covered in this section. Rational Zeros of Polynomials The Rational Zeros Theorem … p. 272. Finding the Rational Zeros of a Polynomial … p.274. Descartes’ Rule of Signs … p. 275. The Upper and Lower Bounds Theorem … p. 276. First Class MAC 2140-64037 7/13/2019