Functions Modeling Change: A Preparation For Calculus, Third Edition

FUNCTIONS MODELING CHANGE: A Preparation for Calculus Third Edition FUNCTIONS MODELING CHANGE: A Preparation for Calculus Third Edition Produced by the Calculus Consortium and initially funded by a National Science Foundation Grant. Eric Connally Harvard University Extension Deborah Hughes-Hallett University of Arizona Andrew M. Gleason Philip Cheifetz Harvard University Nassau Community College Ann Davidian Gen. Douglas MacArthur HS Daniel E. Flath Macalester College Brigitte Lahme Sonoma State University Patti Frazer Lock St. Lawrence University Jerry Morris Karen Rhea Sonoma State University University of Michigan Ellen Schmierer Nassau Community College Pat Shure University of Michigan Carl Swenson Seattle University Katherine Yoshiwara Los Angeles Pierce College Elliot J. Marks with the assistance of Frank Avenoso Nassau Community College John Wiley & Sons, Inc. iv Dedicated to Maria, Ben, Jonah, and Isabel PUBLISHER Laurie Rosatone SENIOR ACQUISITIONS EDITOR MARKETING MANAGER Angela Y. Battle Amy Sell FREELANCE DEVELOPMENTAL EDITOR SENIOR PRODUCTION EDITOR Anne Scanlan-Rohrer Ken Santor ASSISTANT EDITOR MARKETING ASSISTANT COVER DESIGNER Shannon Corliss Tara Martinho Hope Miller c Scott Berner/Picture Quest COVER PHOTO This book was set in Times Roman by the Consortium using TeX, Mathematica, and the package AsTeX, which was written by Alex Kasman. It was printed and bound by Von Hoffmann Press. The cover was printed by Von Hoffmann Press. The process was managed by Elliot Marks. c Copyright 2007 John Wiley & Sons, Inc. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, (508) 750-8400, fax (508) 750-4470. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008, E-Mail: [email protected] This material is based upon work supported by the National Science Foundation under Grant No. DUE-9352905. Opinions expressed are those of the authors and not necessarily those of the Foundation. ISBN-13 978-0-471-79302-1 ISBN-10 047