tailieunhanh - College Algebra and Trigonometry

Place bottle tops, top-side up, to make a shape. Record the co- ordinates of the corners of the shape. Place another set of bottle tops, teeth-side up, to show the image of the shape when it has been enlarged by a scale factor of 2 from the origin. Record these new co-ordinates. Compare the two sets of co-ordinate pairs. Show different shapes enlarged by a scale factor of 2 from the origin. Note the co-ordinates and investigate how the sets of co- ordinates are related. Now try enlargements of other scale factors such as 5, 1/2, -2. Try enlargements from points other than the origin | College Algebra and TRiGONomETRY BY Carl Stitz . Jeff Zeager . Lakeland CommuNiTY College Lorain County CommuNiTY College August 26 2010 II Acknowledgements The authors are indebted to the many people who support this project. From Lakeland Community College we wish to thank the following people Bill Previts who not only class tested the book but added an extraordinary amount of exercises to it Rich Basich and Ivana Gorgievska who class tested and promoted the book Don Anthan and Ken White who designed the electric circuit applications used in the text Gwen Sevits Assistant Bookstore Manager for her patience and her efforts to get the book to the students in an efficient and economical fashion Jessica Novak Marketing and Communication Specialist for her efforts to promote the book Corrie Bergeron Instructional Designer for his enthusiasm and support of the text and accompanying YouTube videos Dr. Fred Law Provost and the Board of Trustees of Lakeland Community College for their strong support and deep commitment to the project. From Lorain County Community College we wish to thank Irina Lomonosov for class testing the book and generating accompanying PowerPoint slides Jorge Gerszonowicz Kathryn Arocho Heather Bubnick and Florin Muscutariu for their unwaivering support of the project Drs. Wendy Marley and Marcia Ballinger Lorain CCC for the Lorain CCC enrollment data used in the text. We would also like to extend a special thanks to Chancellor Eric Fingerhut and the Ohio Board of Regents for their support and promotion of the project. Last but certainly not least we wish to thank Dimitri Moonen our dear friend from across the Atlantic who took the time each week to e-mail us typos and other corrections. Table of Contents Preface ix 1 Relations and Functions 1 The Cartesian Coordinate Plane . 1 Distance in the Plane. 6 Exercises. 10 Answers. 12 Relations . 14 Exercises. 18 Answers . 20 Graphs of Equations . 22 .