PPT-Analyzing and sketching the graph of a rational function

25 Rational Functions Rational Functions A function of the form f x N x D x where N and D are both polynomials Examples What we will be doing Finding some characteristics of rational functions that will help us to be able to graph the function. We can sketch the graph of the derived function f `(x) by looking at the features of the graph of f(x). . This is a simple strategy but does require an understanding that you are drawing the graph of f `(x) from the graph of f(x).. Why do we use the discriminant?. The discriminant tells us one of two things:. How many roots/x-intercepts/zeros does a quadratic function have?. How many solutions does a quadratic equation have?. Example. are Equivalent for Norms. Alexandr Andoni . (Simons Inst. / Columbia). Robert . Krauthgamer. . (Weizmann. . Inst.). Ilya . Razenshteyn . (MIT, now at IBM . Almaden. ). 1. Sketching. n. d. When is sketching possible?. What a Novel Idea!. Structure in The Cellist of Sarajevo. Analyzing the Structure of a Novel. Looking at specific structural choices an author has made is an often overlooked (sadly) strategy for “figuring out” the author’s philosophical purpose (aka THEME) for a novel.. Chapter 5.6. Review: Zeros of Quadratic Functions. In the previous chapter, you learned several methods for solving quadratic equations. If, rather than a quadratic equation . , we think about the function . © 2012 Project Lead The Way, Inc.. Introduction to Engineering Design. Sketching an Isometric Circle. Circular features and cylindrical forms are common in engineering designs, and appear as . ellipses. ANALYZING ARGUMENTS. Arguments can be analyzed, once recognized, by paraphrasing them or by . diagramming them. . . Paraphrasing . involves setting forth the argument in a clear and precise form. . Excercises. Investigation 3: Multiplying and Dividing Rational Numbers. Students will demonstrate how to combine numbers with the same sign and different signs. Homework. Pg. 67. 25,38-41. Warm-up. 3.1 Multiplication Patterns with Integers. La gamme de thé MORPHEE vise toute générations recherchant le sommeil paisible tant désiré et non procuré par tout types de médicaments. Essentiellement composé de feuille de morphine, ce thé vous assurera d’un rétablissement digne d’un voyage sur . “Rational Choice” Theories and Situational Crime Prevention “Rational Choice Theory” Economics (language, theory) “Expected Utility” = calculation of all risks and rewards This is much broader than deterrence Rational Equations and Functions Algebra II Chapter 8 This Slideshow was developed to accompany the textbook Larson Algebra 2 By Larson , R., Boswell, L., Kanold , T. D., & Stiff, L. 2011 Holt Angela Kohler. October 8, 2015. Analyzing Companies & Industries. Analyze the Industry First. : Provides Framework for the Estimates & Assumptions Used in Company Analysis. Top-Down Analysis. DRAFT 2018Algebra 2Page1Algebra 2and Mathematics 3 Critical Areas of FocusOhios Learning Standards for Mathematics include descriptions of the Conceptual Categories These descriptions have been used t Robert Krauthgamer, . Weizmann Institute of Science. Bertinoro. . workshop, May . 2014. Joint work with . Alexandr. . Andoni. and David Woodruff. TexPoint. fonts used in EMF. . Read the . TexPoint.