Introduction to Graphs and the Graphing Calculator

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1. Introduction to Graphs and the Graphing Calculator

Introduction to Graphs and the Graphing Calculator e Plot points by hand and using a grapher e Graph equations by hand and using a grapher e Find the point s of intersection of two graphs Graphing calculators and computers equipped with graphing software are useful tools in applying and understanding mathematical concepts All such graphing utilities will be referred to as graphers in this text although the emphasis will be on graphing calculators When we think of the ways in which a grapher can be used graphing equations might come to mind first Although the grapher will be used extensively in this text to graph equations many of its other uses will also be explored These include performing calculations evaluating ex pressions solving equations analyzing the graphs of equations creating tables of data finding mathematical models of real data analyzing those models and using them to make estimates and predictions Keystrokes and features vary among different brands and models of graphers We will use features that are commonly found on many graph ing calculators Specific keystrokes and instructions for using these features can be found in the Graphing Calculator Manual that ac companies this text You can also consult either your instructor or the user s manual for your particular grapher The goal of this text is to use the grapher as a tool to enhance the learning and understanding of mathematics and to relieve the tedium of some procedures Keep in mind that a grapher cannot be used effectively without a firm mathematical foundation upon which to build For ex ample expressions cannot be entered correctly nor can results be inter preted well if the relevant concepts are not understood and applied correctly The Use of the Grapher A grapher is a tool that can be used in the process of learning and understanding mathematics It should be used to enhance the understanding of concepts not to replace the learning of skills 2 INTRODUCTION TO GRAPHS AND THE GRAPHING CALCULATOR WORK PERMITS ISSUED to Indiana Teens 0 40 000 80 000 Source Indiana Department of Labor 120 000 Graphs Graphs provide a means of displaying interpreting and analyzing data in a visual format It is not uncommon to open a newspaper or magazine and encounter graphs Shown below are examples of bar circle and line graphs SOURCES OF WATER PERCENT UNINSURED vs How we consume water PERCENT UNEMPLOYED 18 ae 16 Soft drinks Drinking Dairy 10 water a products 12 11 10 Vegetables 11 oe 6 z 4 Tea and coffee 30 2 0 88 90 O2 94 96 Source U S Department of Agriculture Sources U S Bureau of the Census U S Bureau of Labor Statistics Many real world situations can be modeled or described mathe matically using equations in which two variables appear We use a plane to graph a pair of numbers To loca
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