Patrick Jones - 1,001 Calculus Practice Problems for Dummies

1,001 Calculus Practice Problems For Dummies, Published by: John Wiley & Sons, Inc., 111 River St., Hoboken, NJ 07030-5774, www.wiley.com Copyright 2014 by John Wiley & Sons, Inc., Hoboken, New Jersey Media and software compilation copyright 2014 by John Wiley & Sons, Inc. All rights reserved. Published simultaneously in Canada 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 the prior written permission of the Publisher. 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, or online at http://www.wiley.com/go/permissions . Trademarks: Wiley, For Dummies, the Dummies Man logo, Dummies.com, Making Everything Easier, and related trade dress are trademarks or registered trademarks of John Wiley & Sons, Inc., and may not be used without written permission. All other trademarks are the property of their respective owners.

John Wiley & Sons, Inc., is not associated with any product or vendor mentioned in this book. LIMIT OF LIABILITY/DISCLAIMER OF WARRANTY: WHILE THE PUBLISHER AND AUTHOR HAVE USED THEIR BEST EFFORTS IN PREPARING THIS BOOK, THEY MAKE NO REPRESENTATIONS OR WARRANTIES WITH RESPECT TO THE ACCURACY OR COMPLETENESS OF THE CONTENTS OF THIS BOOK AND SPECIFICALLY DISCLAIM ANY IMPLIED WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. NO WARRANTY MAY BE CREATED OR EXTENDED BY SALES REPRESENTATIVES OR WRITTEN SALES MATERIALS. THE ADVICE AND STRATEGIES CONTAINED HEREIN MAY NOT BE SUITABLE FOR YOUR SITUATION. YOU SHOULD CONSULT WITH A PROFESSIONAL WHERE APPROPRIATE. NEITHER THE PUBLISHER NOR THE AUTHOR SHALL BE LIABLE FOR DAMAGES ARISING HEREFROM.

For general information on our other products and services, please contact our Customer Care Department within the U.S. at 877-762-2974, outside the U.S. at 317-572-3993, or fax 317-572-4002. For technical support, please visit www.wiley.com/techsupport . Wiley publishes in a variety of print and electronic formats and by print-on-demand. Some material included with standard print versions of this book may not be included in e-books or in print-on-demand.

If this book refers to media such as a CD or DVD that is not included in the version you purchased, you may download this material at http://booksupport.wiley.com . For more information about Wiley products, visit www.wiley.com . Library of Congress Control Number: 2013954232 ISBN 978-1-118-49671-8 (pbk); ISBN 978-1-118-49670-1 (ebk); ISBN 978-1-118-49673-2 (ebk) Manufactured in the United States of America 10 9 8 7 6 5 4 3 2 1 Chapter 1

• Simplifying exponents and radicals
• Finding the inverse of a function
• Understanding and transforming graphs of common functions
• Finding the domain and range of a function using a graph
• Combining and simplifying polynomial expressions

Some of the following suggestions may be helpful:

• Be careful when using properties of exponents. For example, when multiplying like bases, you add the exponents, and when dividing like bases, you subtract the exponents.
• Factor thoroughly in order to simplify expressions.
• Check your solutions for equations and inequalities if you're unsure of your answer. Some solutions may be extraneous!
• It's easy to forget some algebra techniques, so don't worry if you don't remember everything! Review, review, review.

Convert to radical notation. (Note: The final answer can have more than one radical sign.) Convert to exponential notation. The Horizontal Line Test 2123 Use the horizontal line test to identify one-to-one functions. Use the horizontal line test to determine which of the following functions is a one-to-one function and therefore has an inverse. (A)