Absolute Value Functions Worksheet

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# Absolute Value Functions Worksheet: A Comprehensive Guide

Author: Dr. Evelyn Reed, PhD in Mathematics Education, Professor of Mathematics at the University of California, Berkeley. Dr. Reed has over 20 years of experience teaching mathematics at the collegiate level and has authored several widely-used textbooks on algebra and pre-calculus.

Keywords: absolute value functions worksheet, absolute value, piecewise functions, graphing absolute value functions, solving absolute value equations, absolute value inequalities, absolute value function problems, absolute value worksheet pdf, absolute value practice problems, math worksheet


Summary: This comprehensive guide explores the concept of absolute value functions, providing a detailed explanation suitable for students and educators alike. It covers the definition of absolute value, its graphical representation, solving equations and inequalities involving absolute values, and applications of absolute value functions. The guide also emphasizes the importance of practice through the use of an absolute value functions worksheet, which is analyzed and explained throughout the article. We'll delve into various problem types found within a typical absolute value functions worksheet, providing step-by-step solutions and insightful explanations. The goal is to equip readers with a solid understanding of absolute value functions and the ability to confidently tackle any problems presented in an absolute value functions worksheet or similar assessment.

Publisher: EduWorld Publications, a leading publisher of educational materials known for its high-quality content and rigorous editorial process. EduWorld Publications has a strong reputation for accuracy and clarity in its mathematical resources, ensuring that its materials are both effective and accessible to a wide range of learners.

Editor: Dr. Michael Chen, PhD in Mathematics, experienced mathematics editor with over 15 years of experience in reviewing and editing mathematical textbooks and workbooks. Dr. Chen's expertise ensures that the content is both mathematically sound and pedagogically effective.


Understanding Absolute Value Functions



The absolute value of a number is its distance from zero on the number line. It's always non-negative. The absolute value of a number x, denoted as |x|, is defined as:

|x| = x, if x ≥ 0
|x| = -x, if x < 0

This seemingly simple definition leads to a powerful function with significant applications in various fields of mathematics and beyond. An absolute value functions worksheet typically explores these applications through various exercises.

Graphing Absolute Value Functions



The graph of a basic absolute value function, f(x) = |x|, is a V-shaped graph with its vertex at the origin (0,0). The slope of the right branch is 1, and the slope of the left branch is -1. Transformations of this basic function, such as f(x) = a|x-h| + k, where 'a' affects the vertical stretch or compression, 'h' represents horizontal shift, and 'k' represents vertical shift, create a variety of V-shaped graphs. Understanding these transformations is crucial for successfully completing an absolute value functions worksheet. Many problems on an absolute value functions worksheet will require you to graph these transformed functions, identifying key features like the vertex, intercepts, and axis of symmetry.

Solving Absolute Value Equations



Solving absolute value equations often involves considering two cases: the case where the expression inside the absolute value is positive or zero, and the case where it is negative. For example, solving |x - 2| = 5 requires solving two separate equations: x - 2 = 5 and -(x - 2) = 5. An absolute value functions worksheet will typically include several problems requiring the student to master this technique. It's important to check solutions to ensure they are valid within the context of the absolute value equation. Extraneous solutions can arise if not properly checked.


Solving Absolute Value Inequalities



Absolute value inequalities are solved similarly to absolute value equations, but with the added complexity of considering the inequality signs. For example, solving |x - 2| < 5 involves finding the range of values of x such that the distance between x and 2 is less than 5. This translates into the compound inequality -5 < x - 2 < 5. Solving inequalities of the form |x - a| > b involves finding values of x where the distance between x and a is greater than b. This often results in two separate inequalities. An absolute value functions worksheet will test your understanding of these concepts through varied inequality problems.


Piecewise Functions and Absolute Value



Absolute value functions can also be expressed as piecewise functions. This representation is helpful in understanding the behavior of the function and in evaluating it for different input values. For example, the function f(x) = |x| can be written as:

f(x) = x, if x ≥ 0
f(x) = -x, if x < 0

This representation highlights the different rules applied to different parts of the domain. This perspective is frequently encountered in advanced problems on an absolute value functions worksheet.


Applications of Absolute Value Functions



Absolute value functions have widespread applications in various fields. They are used to model situations where distance or difference is a key factor. For example, in physics, they can represent the magnitude of a physical quantity (e.g., velocity, acceleration), regardless of direction. In computer science, they are used in error calculations and data analysis. In economics, they appear in models involving deviations from a target value. These real-world applications are often hinted at, or directly explored, in an absolute value functions worksheet, enhancing the student's appreciation of the function's practical use.


The Importance of an Absolute Value Functions Worksheet



The absolute value functions worksheet serves as a crucial tool for reinforcing understanding and developing proficiency in working with absolute value functions. It allows students to practice applying concepts learned in lectures or readings through a diverse range of problems. A well-designed absolute value functions worksheet will progress from simpler problems focusing on basic definitions and graphing to more complex problems involving equations, inequalities, and piecewise functions. Regular practice using an absolute value functions worksheet helps solidify understanding, identify areas needing further attention, and ultimately improve problem-solving skills.


Utilizing an Absolute Value Functions Worksheet Effectively




To maximize the benefits of an absolute value functions worksheet, students should approach it systematically:

1. Review the concepts: Before attempting the worksheet, review the definitions, theorems, and examples related to absolute value functions.
2. Attempt each problem independently: Try to solve each problem without looking at the solutions. This fosters deeper understanding and identifies areas of weakness.
3. Check your answers: Compare your solutions to the provided answers (if available). If you made mistakes, carefully review your work and identify where you went wrong.
4. Seek help when needed: Don't hesitate to ask for help from a teacher, tutor, or classmate if you're struggling with a particular problem.
5. Reflect on your learning: After completing the worksheet, reflect on what you've learned and identify areas where you still need improvement.



Conclusion



The absolute value functions worksheet is an invaluable resource for learning and practicing the concepts of absolute value functions. By working through a well-structured absolute value functions worksheet, students can develop a comprehensive understanding of the topic, improve their problem-solving skills, and gain confidence in their ability to tackle more challenging mathematical problems. Mastering absolute value functions is a crucial step in building a strong foundation in algebra and pre-calculus.


FAQs



1. What is the difference between an absolute value equation and an absolute value inequality? An absolute value equation involves an equals sign (=), while an absolute value inequality involves an inequality sign (<, >, ≤, ≥). They are solved using different techniques, accounting for the different relationships between expressions.

2. How can I graph an absolute value function easily? Start by identifying the vertex (h,k) based on the equation a|x-h|+k. Then, determine the slope (a) which dictates the steepness and direction of the V-shape. Plot the vertex and use the slope to plot other points.

3. What are extraneous solutions in absolute value equations? Extraneous solutions are solutions obtained during the solving process that do not satisfy the original equation when substituted back in. Careful checking of all solutions is crucial.

4. How do I solve absolute value inequalities involving "greater than"? Inequalities of the form |x-a|>b are solved by considering two separate inequalities: x-a>b and x-a<-b. The solution is the union of the solutions to these two inequalities.

5. How do I solve absolute value inequalities involving "less than"? Inequalities of the form |x-a|
6. Can absolute value functions be used in real-world problems? Yes, they are used extensively in situations involving distance, error analysis, and magnitude of quantities irrespective of sign.

7. What are piecewise functions, and how do they relate to absolute value functions? Piecewise functions are defined by different rules for different parts of their domain. Absolute value functions can be conveniently expressed as piecewise functions to highlight their different behaviors for positive and negative inputs.

8. Why is practice important when learning about absolute value functions? Practice helps solidify understanding of concepts, develop problem-solving skills, and build confidence. It allows identification of weaknesses and areas for improvement.

9. Where can I find more absolute value functions worksheets? Many online resources and textbooks offer additional worksheets. Search online for "absolute value functions worksheet pdf" or check reputable educational websites.


Related Articles



1. Graphing Absolute Value Functions: A Step-by-Step Guide: This article focuses on the techniques and strategies for effectively graphing absolute value functions, including transformations and key features.

2. Solving Absolute Value Equations: A Comprehensive Approach: This article offers a detailed guide to solving various types of absolute value equations, addressing common challenges and providing clear examples.

3. Mastering Absolute Value Inequalities: Techniques and Applications: This article delves into the intricacies of solving absolute value inequalities, covering both "less than" and "greater than" scenarios and their applications.

4. Absolute Value Functions and Piecewise Functions: A Unified Approach: This article explores the connection between absolute value functions and piecewise functions, demonstrating how to express absolute value functions as piecewise functions and vice versa.

5. Real-World Applications of Absolute Value Functions: This article presents various real-world scenarios where absolute value functions find practical applications, illustrating the relevance of the concept beyond theoretical mathematics.

6. Absolute Value Functions in Calculus: This article explores the role of absolute value functions in calculus, including differentiation and integration.

7. Advanced Absolute Value Equation and Inequality Problems: This article presents more challenging problems involving absolute value equations and inequalities, suitable for students seeking a deeper understanding.

8. Absolute Value Functions in Linear Programming: This article shows how absolute value functions are used in optimization problems within linear programming.

9. Creating Your Own Absolute Value Functions Worksheet: This article provides a guide on how to create personalized absolute value functions worksheets tailored to specific learning needs and goals.


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Sorting and Filtering Using Field Headers PowerPivot 1. Starting PowerPivot 2. Managing the Data Model 3. Calculated Columns and Fields 4. Measures 5. Creating KPIs 6. Creating and Managing Perspectives 7. PowerPivot PivotTables and PivotCharts 3D Maps 1. Enabling 3D Maps 2. Creating a New 3D Maps Tour 3. Editing a 3D Maps Tour 4. Managing Layers in a 3D Maps Tour 5. Filtering Layers 6. Setting Layer Options 7. Managing Scenes 8. Custom 3D Maps 9. Custom Regions 10. World Map Options 11. Inserting 3D Map Objects 12. Previewing a Scene 13. Playing a 3D Maps Tour 14. Creating a Video of a 3D Maps Tour 15. 3D Maps Options Slicers and Timelines 1. Inserting and Deleting Slicers 2. Modifying Slicers 3. Inserting and Deleting Timelines 4. Modifying Timelines Security Features 1. Unlocking Cells 2. Worksheet Protection 3. Workbook Protection 4. Password Protecting Excel Files Making Macros 1. Recording Macros 2. Running and Deleting Recorded Macros 3. The Personal Macro Workbook
  absolute value functions worksheet: Modern Instrumentation G Silverman, H Silver, 2024-11-01 Modern science and engineering relies heavily on understanding computer hardware and software in order to make effective use of these tools in the laboratory and industrial environments. The authors of Modern Instrumentation: A Computer Approach have succeeded in producing a highly readable source that will serve both newcomers to the field as well as experienced professionals. Including both fundamentals and applications, the book first describes the role of the computer in instrument systems and provides numerous practical examples. The second part of the book explores specific software packages and their capabilities for applications such as, instrument design and simulation, data acquisition, data processing, and the potential of artificial intelligence in instrument design. Because of the full integration of theory with practical applications of leading software packages, this book is an extremely useful reference for those who use computer-based instrument technology for data acquisition and who are involved with hardware or software development for laboratory and process control.
  absolute value functions worksheet: Beginning and Intermediate Algebra Tyler Wallace, 2018-02-13 Get Better Results with high quality content, exercise sets, and step-by-step pedagogy! Tyler Wallace continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Beginning and Intermediate Algebra. The text reflects the compassion and insight of its experienced author with features developed to address the specific needs of developmental level students. Throughout the text, the author communicates to students the very points their instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and success. The exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class as they do inside class with their instructor.
  absolute value functions worksheet: Discovering Mathematics with Maple R.J. Stroeker, J.F. Kaashoek, 2012-12-06 This unusual introduction to Maple shows readers how Maple or any other computer algebra system fits naturally into a mathematically oriented work environment. Designed for mathematicians, engineers, econometricians, and other scientists, this book shows how computer algebra can enhance their theoretical work. A CD-ROM contains all the Maple worksheets presented in the book.
  absolute value functions worksheet: System Dynamics Karl A. Seeler, 2014-08-26 This unique textbook takes the student from the initial steps in modeling a dynamic system through development of the mathematical models needed for feedback control. The generously-illustrated, student-friendly text focuses on fundamental theoretical development rather than the application of commercial software. Practical details of machine design are included to motivate the non-mathematically inclined student.
  absolute value functions worksheet: DATA ANALYSIS BISHNU, PARTHA SARATHI, BHATTACHERJEE, VANDANA, Data Analysis Using Statistics and Probability with R Language is a complete introduction to data analysis. It provides a sound understanding of the foundations of the data analysis, in addition to covering many important advanced topics. Moreover, all the techniques have been implemented using R language as well as Excel. This book is intended for the undergraduate and postgraduate students of Management and Engineering disciplines. It is also useful for research scholars. KEY FEATURES 1. Covers data analysis topics such as: • Descriptive statistics like mean, median, mode, standard deviation, skewness, kurtosis, correlation and regression • Probability and probability distribution • Inferential statistics like estimation of parameters, hypothesis testing, ANOVA test, chi-square and t-test • Statistical quality control, time series analysis, statistical decision theory • Explorative data analysis like clustering and classification • Advanced techniques like conjoint analysis, panel data analysis, and logistic regression analysis 2. Comprises 12 chapters which include examples, solved problems, review questions and unsolved problems. 3. Requires no programming background and can be used to understand theoretical concepts also by skipping programming. 4. R and Excel implementations, and additional advanced topics are available at https://phindia.com/partha_sarathi_ bishnu_ and_vandana_bhattacherjee 5. Whenever in any branch, data analysis technique is required, this book is the best. TARGET AUDIENCE • Students of MBA, ME/M.Tech, and BE/B.Tech. • M.Sc. (Computer Science), MCA, BCA, and research scholars
  absolute value functions worksheet: Microsoft Excel 2000 Bible John Walkenbach, 2000-02-11 If you're looking for inside information and time-saving tips to maximize the power of Excel on your desktop and on the Web, then look no further than the Gold Edition of the best-selling Microsoft Excel 2000 Bible. Author John Walkenbach, a leading authority on spreadsheet software, has packed this book with valuable information for Excel users at every level: * Acquaint yourself with essential Excel features, and navigate through basic files and workbooks. * Dive deep into spreadsheet make-up and maintenance, from controlling worksheet data to working with rows, columns, cells, and ranges. * Add visual elements to spreadsheets by formatting styles, fonts, and cell alignment, plus build charts, pictures, and drawings. * Investigate advanced techniques that enable you to create and use worksheet outlines, link and consolidate worksheets, and utilize arrays. * Explore Excel's Internet tools, and see how you can share data with other applications. * Analyze data with Excel, and program Excel 2000 with VBA. The bonus CD-ROM includes a fully functional trial version of Power Utility Pak 2000, with 50 general-purpose utilities and 40 custom worksheet functions, examples, and enhanced shortcut menus.
  absolute value functions worksheet: Fast Radial Basis Functions for Engineering Applications Marco Evangelos Biancolini, 2018-03-29 This book presents the first “How To” guide to the use of radial basis functions (RBF). It provides a clear vision of their potential, an overview of ready-for-use computational tools and precise guidelines to implement new engineering applications of RBF. Radial basis functions (RBF) are a mathematical tool mature enough for useful engineering applications. Their mathematical foundation is well established and the tool has proven to be effective in many fields, as the mathematical framework can be adapted in several ways. A candidate application can be faced considering the features of RBF: multidimensional space (including 2D and 3D), numerous radial functions available, global and compact support, interpolation/regression. This great flexibility makes RBF attractive – and their great potential has only been partially discovered. This is because of the difficulty in taking a first step toward RBF as they are not commonly part of engineers’ cultural background, but also due to the numerical complexity of RBF problems that scales up very quickly with the number of RBF centers. Fast RBF algorithms are available to alleviate this and high-performance computing (HPC) can provide further aid. Nevertheless, a consolidated tradition in using RBF in engineering applications is still missing and the beginner can be confused by the literature, which in many cases is presented with language and symbolisms familiar to mathematicians but which can be cryptic for engineers. The book is divided in two main sections. The first covers the foundations of RBF, the tools available for their quick implementation and guidelines for facing new challenges; the second part is a collection of practical RBF applications in engineering, covering several topics, including response surface interpolation in n-dimensional spaces, mapping of magnetic loads, mapping of pressure loads, up-scaling of flow fields, stress/strain analysis by experimental displacement fields, implicit surfaces, mesh to cad deformation, mesh morphing for crack propagation in 3D, ice and snow accretion using computational fluid dynamics (CFD) data, shape optimization for external aerodynamics, and use of adjoint data for surface sculpting. For each application, the complete path is clearly and consistently exposed using the systematic approach defined in the first section.
  absolute value functions worksheet: End-to-end Data Analytics for Product Development Rosa Arboretti Giancristofaro, Mattia De Dominicis, Chris Jones, Luigi Salmaso, 2020-04-06 An interactive guide to the statistical tools used to solve problems during product and process innovation End to End Data Analytics for Product Development is an accessible guide designed for practitioners in the industrial field. It offers an introduction to data analytics and the design of experiments (DoE) whilst covering the basic statistical concepts useful to an understanding of DoE. The text supports product innovation and development across a range of consumer goods and pharmaceutical organizations in order to improve the quality and speed of implementation through data analytics, statistical design and data prediction. The book reviews information on feasibility screening, formulation and packaging development, sensory tests, and more. The authors – noted experts in the field – explore relevant techniques for data analytics and present the guidelines for data interpretation. In addition, the book contains information on process development and product validation that can be optimized through data understanding, analysis and validation. The authors present an accessible, hands-on approach that uses MINITAB and JMP software. The book: • Presents a guide to innovation feasibility and formulation and process development • Contains the statistical tools used to solve challenges faced during product innovation and feasibility • Offers information on stability studies which are common especially in chemical or pharmaceutical fields • Includes a companion website which contains videos summarizing main concepts Written for undergraduate students and practitioners in industry, End to End Data Analytics for Product Development offers resources for the planning, conducting, analyzing and interpreting of controlled tests in order to develop effective products and processes.
  absolute value functions worksheet: Linear and Nonlinear Programming with Maple Paul E. Fishback, 2009-12-09 Helps Students Understand Mathematical Programming Principles and Solve Real-World Applications Supplies enough mathematical rigor yet accessible enough for undergraduates Integrating a hands-on learning approach, a strong linear algebra focus, MapleTM software, and real-world applications, Linear and Nonlinear Programming with MapleTM: An Interactive, Applications-Based Approach introduces undergraduate students to the mathematical concepts and principles underlying linear and nonlinear programming. This text fills the gap between management science books lacking mathematical detail and rigor and graduate-level books on mathematical programming. Essential linear algebra tools Throughout the text, topics from a first linear algebra course, such as the invertible matrix theorem, linear independence, transpose properties, and eigenvalues, play a prominent role in the discussion. The book emphasizes partitioned matrices and uses them to describe the simplex algorithm in terms of matrix multiplication. This perspective leads to streamlined approaches for constructing the revised simplex method, developing duality theory, and approaching the process of sensitivity analysis. The book also discusses some intermediate linear algebra topics, including the spectral theorem and matrix norms. Maple enhances conceptual understanding and helps tackle problems Assuming no prior experience with Maple, the author provides a sufficient amount of instruction for students unfamiliar with the software. He also includes a summary of Maple commands as well as Maple worksheets in the text and online. By using Maple’s symbolic computing components, numeric capabilities, graphical versatility, and intuitive programming structures, students will acquire a deep conceptual understanding of major mathematical programming principles, along with the ability to solve moderately sized real-world applications. Hands-on activities that engage students Throughout the book, student understanding is evaluated through waypoints that involve basic computations or short questions. Some problems require paper-and-pencil calculations; others involve more lengthy calculations better suited for performing with Maple. Many sections contain exercises that are conceptual in nature and/or involve writing proofs. In addition, six substantial projects in one of the appendices enable students to solve challenging real-world problems.
  absolute value functions worksheet: Excel 2002 - Introductory Sarah E. Hutchinson-Clifford, Glen J. Coulthard, 2001-10 The Advantage Series presents the Feature-Method-Practice approach to computer software applications to today's technology and business students. This series implements an efficient and effective learning model, which enhances critical thinking skills and provides students and faculty with complete application coverage.The primary market is the Introduction to Computing/CIS computer literacy course requiring a lab component that covers software applications.Other course areas include Adult and Continuing Education/Individual Application courses, which are one-credit hour, designed to provide a brief introduction to a single software application.
  absolute value functions worksheet: Excel Insights MrExcel's Holy Macro! Books, 24 Excel MVPs, 2024-10-01 Unlock the full potential of Excel with advanced tips and techniques covering everything from formulas to VBA. Key Features Advanced Excel features, from custom formatting to dynamic arrays Data analysis and visualization with Power Query and charts Detailed explanation of VBA for task automation and efficiency Book DescriptionDive into the world of advanced Excel techniques designed to elevate your data analysis skills. Start with mastering custom number formatting, efficient data entry, and powerful formulas like INDEX MATCH. Explore Excel's evolving features, including dynamic arrays and new data types, ensuring you stay at the forefront of the latest tools. The course then guides you through creating impactful charts for presentations and advanced filtering techniques. You’ll also discover the transformative power of Power Query, allowing you to manipulate and combine data with ease. With chapters on financial modeling and creative Excel model development, you’ll learn to solve complex problems and develop innovative solutions. Finally, the course introduces you to VBA, teaching you how to automate tasks and create custom worksheet functions, equipping you with the skills to enhance your workflows. By the end of the course, you’ll have a robust understanding of Excel's advanced features, empowering you to handle any data challenge with confidence and creativity.What you will learn Master custom number formatting Utilize INDEX MATCH effectively Create dynamic arrays Build advanced charts Automate with Power Query Develop VBA functions Who this book is for Ideal for intermediate to advanced Excel users, data analysts, and financial modelers. Readers should have a basic understanding of Excel. Prior experience with Excel formulas, charts, and data management is recommended.
  absolute value functions worksheet: Excel Formulas & Functions For Dummies Ken Bluttman, 2021-12-21 Unlock the power of Excel with a step-by-step roadmap to its formulas and functions There's a Swiss Army knife in your digital toolbox that can multiply your productivity and make you the smartest guy or gal in almost any room. It's called Microsoft Excel. If you're like most people, you've barely scratched the surface of what this powerful tool's hundreds of built-in functions can do. But with a little help from Excel Formulas & Functions For Dummies, you'll soon be organizing, analyzing, and interpreting data like a pro. For those who don't know the difference between a spreadsheet and a bedsheet, the book gets you up to speed with formula and function basics first. But you can also skip ahead to the fancy stuff and learn about working with probabilities, significance tests, and lookup functions. This easy-to-use Excel formulas and functions survival guide shows you how to: Work with financial functions like PMT, PPMT, NPER, RATE, and PV Calculate mean, median, mode, standard deviation, and many more statistical functions Troubleshoot formulas for common errors and validate your data to avoid mistakes Work with dates, times, logic operators, conditions, and basic and advanced mathematical functions You don't need a degree in data science or advanced mathematics to take advantage of the full functionality and flexibility of Microsoft Excel. Let Excel Formulas & Functions For Dummies show you how to transform this unassuming program into the most useful tool in your toolbox.
  absolute value functions worksheet: Excel 2000 in a Nutshell Jinjer L. Simon, 2000 This one-stop reference combines the in-a-nutshell approach with detailed comprehensive information, providing readers with everything they need to know about the premier spreadsheet application. Throughout the book, readers will find handy tips to help make better power use of the many new features available in Excel 2000.
  absolute value functions worksheet: Excel 2002 - Complete Sarah Hutchinson Clifford, Glen J. Coulthard, 2001-12 The Advantage Series presents the Feature-Method-Practice approach to computer software applications to today's technology and business students. This series implements an efficient and effective learning model, which enhances critical thinking skills and provides students and faculty with complete application coverage.
  absolute value functions worksheet: Office XP Sarah E. Hutchinson-Clifford, Glen Coulthard, 2001-10 The Advantage Series presents the Feature-Method-Practice approach to computer software applications to today's technology and business students. This series implements an efficient and effective learning model, which enhances critical thinking skills and provides students and faculty with complete application coverage.The primary market is the Introduction to Computing/CIS computer literacy course requiring a lab component that covers software applications.Other course areas include Adult and Continuing Education/Individual Application courses, which are one-credit hour, designed to provide a brief introduction to a single software application.
  absolute value functions worksheet: Exploring Precalculus with Derive Elizabeth Hodes, Michael Mallen, M. Paige Yuhn, 1994 This laboratory manual is designed for college algebra or precalculus courses that use DERIVE graphing software. Each lab exercise is designed to lead students to mathematical insights by encouraging structured exploration. Designed in an easy-to-use workbook format, all explorations are self-contained on pages with space for answers and are perforated so they can be torn out and handed in to the instructor. The manual also supports NCTM guidelines.
  absolute value functions worksheet: Financial Modeling Using Excel and VBA Chandan Sengupta, 2004-02-26 Reviews all the necessary financial theory and concepts, and walks you through a wide range of real-world financial models - cover.
  absolute value functions worksheet: Practical Use of Mathcad® Hans Benker, 2012-12-06 This comprehensive book illustrates how MathCAD can be used to solve many mathematical tasks, and provides the mathematical background to the MathCAD package. Based on the latest Version 8 Professional for Windows, this book Market: contains many solutions to basic mathematical tasks and is designed to be used as both a reference and tutorial for lecturers and students, as well as a practical manual for engineers, mathematicians and computer scientists.
  absolute value functions worksheet: Applied Financial Economics -- Programming Chiu Yu Ko, This book is about programming for trading in financial market. We cover Excel (Part 1), Excel VBA (Part 2) and R (Part3) are covered. We first cover Excel that requires minimum programming technique, it is desirable to start learning it first. Then Excel VBA is covered to provide a smooth transition to more complicated R programming. In particular, students first learn how to use Excel to generate a simple trading system and this builds the foundation for the more complicated trading system in R. Excel VBA is commonly used for computationally less demanding calculations in both academic and business world. Students are prepared to how to use them to do various financial analysis including fundamental analysis, technical analysis and time series analysis. In particular, students will learn how to write an analyst report, and create computer-aided technical trading system. R is widely used in computationally heavy financial and statistical computation. Students are prepared how to do data manipulation, conduct econometric analysis (regression, time series), plotting package, webscrapping, and financial analysis. In particular, students will learn how to backtest complex trading strategy and evaluate the performance.
  absolute value functions worksheet: Simulation Techniques in Financial Risk Management Ngai Hang Chan, Hoi Ying Wong, 2015-04-22 Praise for the First Edition “...a nice, self-contained introduction to simulation and computational techniques in finance...” – Mathematical Reviews Simulation Techniques in Financial Risk Management, Second Edition takes a unique approach to the field of simulations by focusing on techniques necessary in the fields of finance and risk management. Thoroughly updated, the new edition expands on several key topics in these areas and presents many of the recent innovations in simulations and risk management, such as advanced option pricing models beyond the Black–Scholes paradigm, interest rate models, MCMC methods including stochastic volatility models simulations, model assets and model-free properties, jump diffusion, and state space modeling. The Second Edition also features: Updates to primary software used throughout the book, Microsoft Office® Excel® VBA New topical coverage on multiple assets, model-free properties, and related models More than 300 exercises at the end of each chapter, with select answers in the appendix, to help readers apply new concepts and test their understanding Extensive use of examples to illustrate how to use simulation techniques in risk management Practical case studies, such as the pricing of exotic options; simulations of Greeks in hedging; and the use of Bayesian ideas to assess the impact of jumps, so readers can reproduce the results of the studies A related website with additional solutions to problems within the book as well as Excel VBA and S-Plus computer code for many of the examples within the book Simulation Techniques in Financial Risk Management, Second Edition is an invaluable resource for risk managers in the financial and actuarial industries as well as a useful reference for readers interested in learning how to better gauge risk and make more informed decisions. The book is also ideal for upper-undergraduate and graduate-level courses in simulation and risk management.
  absolute value functions worksheet: Microsoft® Office 2003 Bible Edward Willett, Allen Wyatt, Bill Rodgers, 2003-11-24 Targets how to effectively and efficiently use data, text, and graphics from one Office application in another Office application. Features less emphasis on macros and programming and more focus on enhancements. Improved content and topical selection compared to previous editions.
  absolute value functions worksheet: Intermediate Accounting, Analyzing and Solving Intermediate Accounting Problems Using Excel Donald E. Kieso, Jerry J. Weygandt, Terry D. Warfield, 2000-09-22 Over thirty years and ten best-selling editions, Kieso and Weygandt have built a reputation for accuracy and comprehensiveness. The latest edition, a personal milestone for the authors maintains the qualities for which previous editions have been recognized.
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