Writing absolute value functions as piecewise functions worksheet. The parent absolute value function is f x x .

Writing absolute value functions as piecewise functions worksheet. Math limits The graph of this piecewise function consists of two rays, is V-shaped, and opens up. With a domain of all real numbers and a range of values greater than or equal to 0, absolute value can be defined as the magnitude Limits Absolute Value and Piecewise Functions Worksheet - Free download as PDF File (. 7 Piecewise Functions Learning Target Graph and write piecewise functions. This activity also gets students up and about. Because these graphs tend to look like "pieces" glued together to form a graph, they are referred to as " piecewise " functions (piecewise defined functions), or " split-definition " functions. Great as preview or review. The simplest example to illustrate this is the absolute value function, defined by: The scaffolded notes break down transformations of linear piecewise functions into clear, easy-to-understand segments, and the accompanying worksheet gives students ample opportunities to gain confidence and apply their new skills through independent practice with a variety of problems. 1: Absolute Value absolute value x |x| The of a number , denoted , is defined as follows: A piecewise function is a function whose definition changes depending on the value of its argument. 2. This activity includes linear, absolute value, and quadratic functions. To graph a piecewise function, simply treat the equations and intervals as a set of instructions, graphing each line only where it is defined by the interval. Answer : f (x) = |2x - 3| Equate the expression inside the absolute value to zero and solve for x. A piecewise function is a function for which different rules are used to find the function’s output over different intervals of the function’s domain. Students will generate a funny story as they move through the stations. 1) II. x - a = 0 x = a Step 3 : Unit 1: Piecewise Functions Objective 2. Success Criteria • I can evaluate piecewise functions. Write a piecewise function within a context. T n fMhaOd[e] bwVittihR `IQn`fhiXnXiEtUeJ ZAmlvgMeQbgrmaJ L2k. **Unit guides are here!** Power up your classroom with engaging strategies, tools, and activities from Khan Academy’s learning experts. Apr 10, 2022 · A piecewise function is a function that has several curves in its graph. We use piecewise functions to describe situations in which a rule or relationship changes as the input value crosses certain "boundaries. x - a Step 2 : Equate ' x - a' to zero and solve for x. There are different types of questions including matching, open response, multiple ch Create your own worksheets like this one with Infinite Algebra 1. The absolute value functionis a type of piecewise-linear function. Use GO #3 to show students the process for writing absolute value functions as piecewise functions. Make absolute value functions simple! Your students will excel at graphing absolute value functions using transformations with interactive guided notes and practice that include a variety of problems. 2 −1, <1 of other functions. First find the vertex: (1, 2) and the slopes: 1 and -1 Use the vertex and slopes in the point-slope formula: s(n) n , n , n 10) Write a rule for the function shown. 7 Graph absolute value and step functions Vocabulary: absolute value, even function, odd function, step function, ceiling function, floor function Piecewise Function A piecewise function is a function with multiple pieces of curves in its graph. Since this graph is V-shaped, it represents an absolute value function. " For example, we often encounter situations in business for which the cost per piece of a certain item is discounted once the Finding the Domain of a Function Finding the Domain and Range of a Function from its Graph Piecewise Functions Average Rate of Change of a Function Increasing and Decreasing Functions Relative Maxima or Minima Arithmetic Operations with Functions Compositions of Functions Transformation of Functions Absolute Value Functions Inverse Functions A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain. It has an infinite number of pieces: The Floor Function What is a Function? Algebra Index Absolute Value Functions & Graphing Worksheet For each absolute value function, graph the function, state the domain and range, and write as a piecewise function. You can follow the steps below to write the above absolute value function as piecewise function. Write and solve an absolute value equation to find the possible amount of time Sully spent listening to Mariah last night. This means that each absolute value function can be thought of as two separate lines. , each piece of the function is continuous itself and all the intersection points are the same for each piece so where each piece ends another piece of function starts from there in the graph. There are different types of questions including open response, multip In preparation for the definition of the absolute value function, it is extremely important to have a good grasp of the concept of a piecewise-defined function. Description Attention Algebra 1 Math Teachers! Are your students struggling with understanding absolute value functions and their graphs? This Absolute Value Functions Worksheet can help! This two-sided worksheet focuses on completing a T-table from an absolute value function, graphing the solutions on a coordinate plane, and identifying the domain, range, vertex, maximum or minimum of the Chapter 7 Logarithmic and Exponential Functions and Relations White - Chapter 7 Syllabus Given the formula of a piecewise function, evaluate it for a specific input. Free trial available at KutaSoftware. , a piecewise function behaves differently for different inputs. The corner point of the graph, called the vertex, occurs at the origin. Go through a couple of examples with the students, then have them complete some practice problems or a worksheet. f (x) = x Therefore, 2. In this problem, can we tell which one is correct? Jan 1, 2025 · 1. Because this requires two different processes or pieces, the absolute value function is an example of a piecewise function. 3: Piecewise Functions Unit 3 Review Because this requires two different processes or pieces, the absolute value function is an example of a piecewise function. State if the graph is continuous or discontinuous. Piecewise functions piece together different functions. Core Concepts Absolute Value Function An absolute value function is a function that contains an absolute value expression. Objective: To practice evaluating piecewise functions, graphing piecewise function, writing a piecewise function given a graph, and identifying the domain and range of a piecewise function. com Create your own worksheets like this one with Infinite Algebra 1. Find the maximum value of a given interval across a piecewise function. p V \MHaEdOel hwniZtyhU HIgnWfliQnnittKeN yParZeScQapl^cRualYuQse. Give each student the following directions: You are an animal of your choice, real or make-believe, in the shape of an absolute value function. Challenge yourself now and boost your graphing confidence!. How can we write f (x) = ∣ x ∣ f (x) = ∣x∣ as a piecewise function? About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket © 2025 Google LLC Guided notes and practice worksheet on writing domain and range of graphs in inequality notation and interval notation Puzzle Objective: To practicing graphing piecewise functions and identifying their domain and range. Write out the function of the graph to the right. Graph a Jan 31, 2025 · When it comes to graphing piecewise functions, Desmos is a powerful tool that enables users to visualize complex mathematical expressions. This resource requires no prep - just print, copy and go! What's Included:2 pages of guided notes with examples2 pages of additional practice with 12 problemsWorked out, handwritten solutionsPlease check out the f (x) = x - 2 Hence, the given absolute value function is redefined as piecewise function as shown below : Problem 2 : Graph the piecewise-defined function shown below : What are the domain and range ? Over what intervals is the function increasing or decreasing ? Solution : Step 1 : Sketch the graph of y = 4x + 11 for values of x between -10 Piecewise Functions Rules and Examples. How to examine the features of piecewise functions including the absolute value function and step functions, examples and step by step solutions, Common Core Algebra I CONVERTING ABSOLUTE VALUE FUNCTIONS TO PIECEWISE DEFINED FUNCTION For each of the functions, create a piecewise definition. Can every continuous piecewise linear function be written as a linear combination of linear functions and absolute values of linear functions? If possible, is there a systematic way to do it? The Absolute Value Function The Absolute Value Function is a famous Piecewise Function. Topics included: Evaluating Khan Academy style videos to accompany Mr. In this post blog, you learn more about the piecewise function. Identify whether or not he graph is a function. Use this information to guess the value of the limit of the function (if it exist) as x approaches the given value. Give a head-start to your practice with the free worksheets here. Write the answer next to the problem number. Determine if the graph opens up or down (circle one). Understanding Absolute Value Recall that in its basic form \ (f (x)=|x|\), the absolute value function, is one of our toolkit functions. What’s included? This lesson delves into the realm of graphing absolute value equations and inequalities as systems. Algebraically, for whatever the input value is, the output is the value without regard to Match the piecewise function with its graph. Students pick any card to begin with. These are the "critical points" that dictate how the expression inside the absolute value bars behaves and, consequently, how the entire function unfolds across different parts of the number Explore this ensemble of printable absolute value equations and functions worksheets to hone the skills of high school students in evaluating absolute functions with input and output table, evaluating absolute value expressions, solving absolute value equations and graphing functions. Linear, Absolute Value, Piecewise Functions Relations and Functions Notes p64 Worksheet Key Linear Functions and Rate of Change Notes 3 3 x 2 2 Tuesday, September 23 Worksheet: Piecewise Functions #2 I. All copy-pasted materials are taken from the Pearson Pre-Calculus 11 Workbook for western Canada • Piecewise Functions • Graphing Absolute Value Functions and Inequalities by Table • Parent Functions • Transformations • Vertex Form of an Absolute Value Equation; Graphing using Transformations • Quadratic Functions Review: Parts of the Parabola, Axis of Symmetry, Vertex, Minimum, Maximum • Graphing Quadratic Equations and Inequalities written in Standard Form • Graphing Piecewise Function: a function composed of two or more separate functions or pieces, each with its specific domain, that combine to define the overall function. All you need to do is print & make copies for your students! A suggested, detailed answer key is included for all pages. 4. Graph the given functions. Since this graph consists of different rays and segments, it represents a piecewise function. Match the piecewise function with its graph. The function g is a piecewise defined function. Jul 23, 2025 · A Piecewise Continuous Function is a function that is continuous across its entire domain i. 02 Use piece-wise defined functions to model and solve problems; justify results. Graphs of Piecewise Functions. Absolute Value and Transformations of Piecewise Functions. Each of these three functions is paired with an interval that appears on the right side of the same line as the function: ( 0], and [0, 4], and [4, 1, respectively. O q PMlaBdmef gwfi6tVhT KIdnUf7iWn5iMtfef BA0leg0ekb8rSaa j2l. Tuesday, 25 February - Graphing Absolute Value Equations Graphing Exploration and Discovery solutions Graphing Absolute Value Equations WS 1 WS key The Absolute Value Function is a piecewise-defined function made up of two linear functions. This activity is designed to help students with graphing piecewise-defined functions (or with writing them). Writing Absolute Value as Piecewise Just like when we solved absolute value equations, when we graph we need to find the positive and negative (sloped) part of the graph. Absolute Value Functions and Step Functions Text: 2. See Related Pages Graphing Piecewise Functions In Summary The parent function for absolute value functions is f (x) = | x |. 1 For each of the functions below, analytically find the zeros of the function and the axis intercepts of the graph, if any exist. This means that piecewise A step function is a piecewise function defi ned by a constant value over each part of its domain. Sharpen your skills and gain confidence in understanding this essential concept in algebra. By following these steps, you'll be able to create PART B: THE ABSOLUTE VALUE FUNCTION Let f ( x x . e. Learn all about piecewise functions in this free algebra lesson! Students will work through rewriting absolute value functions as piecewise functions. An absolute value function is a function in algebra where the variable is inside the absolute value bars. The graph of a step function consists of a series of line segments. com Graphing Piecewise-Defined Functions Sometimes, we come across a function that requires more than one formula in order to obtain the given output. The shape of absolute value functions is a “v”. 1 The Absolute Value Function Definition 2. Whether you're a student seeking to understand the concept or a professional working with piecewise functions, this guide provides you with comprehensive instructions on how to utilize Desmos' capabilities. The graph ( ) = of f x x is V-shaped and symmetric about the y-axis. Let us learn more about piecewise function along with how to graph it, how to evaluate it, and how to find its domain and range. De ne each absolute value function in piecewise form. k c qAul^lq EraiughhYtYs^ YrBezsaeXrivZeFd`. com Writing an Absolute Value Function In holography, light from a laser beam is split into two beams, a reference beam and an object beam. ©h o290I1I2z BKhuXtcav BS1oXfytrw4aBryer LLkLJCO. −−−− PRACTICE PROBLEMS for Topic 2 { Piecewise-De ned Functions 2. Absolute Value as Piecewise Functions Graph each equation, then write the piecewise function. f (x) x x , x x , x Create your own worksheets like this one with Infinite Precalculus. A piecewise defined function is a function defined by at least two equations ("pieces"), each of which applies to a different part of the domain. Converting absolute value functions into piecewise functions Jason Appel 953 subscribers Subscribed Identify the parent function f ©A[2[0g1x6F SKQustAal hSAoZf`tMw]alrAeT LLELvCN. A piecewise function is defined using different expressions on different pieces of its domain. Interpret statements that use function notation within a context over a specified interval. We'll learn about absolute value and piecewise functions, which might sound a little scary at first, but don't worry - with some practice, we'll be graphing them like pros in no time! Section 3. It has two pieces: Graphing absolute value functions with an x, y chart and with the vertex and slope Identifying the domain and range of functions with absolute value Students should have a solid understanding of evaluating expressions with absolute value and writing domain and range in interval notation before completing this lesson. f . f (x) = |x - a| where a > 0. An absolute value function is written as f(x) =a|x-h|+k, where a, h, and kare constants and f(x) ≥ 0 for all values of x. Then, find the domain and range for each piecewise function. We use piecewise functions to describe situations in which a rule or relationship changes as the input value crosses certain “boundaries. These notes mainly focus on transformations of Absolute Value functions but also include other parent functions when identifying and writing equations. Sep 7, 2020 · Use conditional definitions to re-write an absolute value function as a piecewise defined equation. The next few problems will involve re-writing absolute value functions as piece-wise functions. It is defined using three functions that we’re more comfortable with: x2 1, x 1, and the constant function 3. The scaffolded notes break down graphing piecewise functions into clear, easy-to-understand segments, and the accompanying worksheet gives students ample opportunities to gain confidence and apply their new skills through independent practice with a variety of problems. Be sure to change the signs of each term that is inside the absolute value for any part of the graph that was negative on the sign chart. Printable in convenient PDF format. The parent absolute value function is f x x . f (x) = -x When x takes zero or a positive value, x ≥ 0. = y 1) x + 3 + 2 y 6 This resource, for Algebra through Pre-Calculus (used in NC Math 3), covers evaluating, writing, and graphing piecewise functions and piecewise functions word problems. One well-known function that we can write as a piecewise function is the absolute value function, 𝑓 (𝑥) = | 𝑥 |. Writing an Absolute Value Function In holography, light from a laser beam is split into two beams, a reference beam and an object beam. Determine if the graph is narrower, wider, or the same width (circle one) as the parent graph. 3, Part N. Learn to understand the steps involved in graphing piecewise functions and see examples of A piecewise function is a function defined separately for different intervals of \ (x\) – values (different domains). Writing Absolute Value as Piecewise Piecewise: A graph split into multiple sections or written as multiple parts. Write f(x) = |x – 1| + 2 as a piecewise function. This activity includes linear, quadratic, and absolute value functions. 2x - 3 = 0 2x = 3 x = 1. 1. A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain. One of the most common piecewise functions is the absolute value function. The name, Absolute Value Function, should be familiar to you from Section 1. Usually, absolute value equations have two answers. 3 | Absolute Value Functions Piecewise Functions Review: A piecewise function allows us to utilize diferent equations on multiple intervals. page 5 Aug 8, 2025 · The First Clue: How Critical Points Reveal the Absolute Truth To master the art of converting absolute value expressions into piecewise functions, we must first understand their inherent turning points. f x = 2 , ≥1 Use the point-slope formula y – y1 = m(x – x1) and common sense to write the absolute value as piecewise. Answers 1. Problem 1 : f (x) = |x - 1| Solution : f (x) = |x - 1| f (x) = x - 1 and f (x) = - (x - 1) When graphing, it can help to interpret absolute value functions as two individual lines: one that traces the graph when the part within the absolute value would be negative, and the other for when it would be positive. 4e: Exercises - Piecewise Functions, Combinations, Composition is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts. The scaffolded notes break down graphing -2- Worksheet by Kuta Software LLC page 4 12) Write the piecewise function rule for the graph in #10 above. Includes step function application. Rewrite the equation without the absolute value as a piecewise function. 1: Absolute Value Inequalities Section 3. 7 An absolute must for any calculus student--this video explains how to rewrite absolute value functions piecewise so that you can work with them in your calculus class. This unit on integrated math is all about us getting up close and personal with some funky functions. Algebra 2 worksheet covering absolute value functions, piecewise functions, graphing, transformations, domain, and range. 2. Answer : f (x) = |x| Equate the expression inside the absolute value to zero and solve for x. We discussed the absolute value function f in Section 1. This set of guided notes will walk Algebra 2 students through working with piecewise functions. J F fA`lTln jreiwgphxtOsq \rbebsyeurAvqeXdQ. Skill practice: - Changing Absolute Value Equations into Piecewise Functions - Can identify the two evaluations rules for a simple absolute value function Package include: - Ideas and Directions - 2 Version (12 cards per page version B also print 4 cards per page) - Domino Order (key) Common Module A Review - Piecewise, Absolute Value, and Quadratic Functions Period____ Graph each equation. You will need to solve the inequalities f(x) 0 and f(x) < 0: this can be done by graphing (if you can do this by hand, say if f(x) is linear or quadratic) or by applying the Intermediate Value Theorem and making a sign chart with test points: recall a function can only change signs at roots (zeroes) or at points of discontinuity, so rst nd all roots of f(x) by solving 0 = f(x), then nd any Created Date11/11/2015 2:56:31 PM A piecewise function is a function where more than one formula is used to define the output over different pieces of the domain. This resource, for Algebra through Pre-Calculus, covers evaluating, writing, and graphing piecewise functions and piecewise functions word problems. i. com The Absolute Value Function The Absolute Value Function is a famous Piecewise Function. Download now and get started! Identifying Graphs of Absolute Value Functions Work with a partner. Place the 10 cards on the wall around your room. Understand the characteristics and structure of step functions. This BUNDLE includes 5 worksheets with over 40 practice problems. The vertex is ( ) = Description Graphing piecewise functions can be a very challenging and abstract concept for many students, but this set of guided notes and a worksheet make the topic simple and achievable! This comprehensive print-and-go lesson gives your students the tools they need to succeed with evaluating, graphing, and writing piecewise functions in Algebra 1. This means we want the piecewise function to be split starting at 10 minutes, when the minimum fare threshold is passed. Aug 24, 2025 · Test your skills with our free quiz on absolute value as piecewise functions and discontinuous domain challenges. Piecewise the piecewise Functions f nction . Write a piecewise function for each graph shown and find the requested information. Graph the Absolute Value Function and answer the questions 1) y= 2x + 6 Consider the following absolute value function. If you are unfamiliar with absolute value functions in general or need to review how to re-write absolute value functions as piece-wise functions, take a look at this link. Objectives: In this activity, students will relate the piecewise function to the graph of the absolute value function and continue their development of translating functions based on constants. Understanding Absolute Value Recall that in its basic form f (x) = | x |, f (x) = | x |, the absolute value function is one of our toolkit functions. • I can graph piecewise functions. Example 1. On graphing piecewise functions To graph a piecewise function, it is a good idea to follow these steps. 12 as a piecewise-defined function and sketch its graph. 5, (2x - 3) < 0. n 3 vAClWln qr8iWgjhxt3sl yrvemsneSrhv0etd4. The lesson also emphasizes the transformation of absolute value functions into piecewise functions, offering a List of Definitions 2 Absolute Value and Piecewise Functions 2. Match each absolute value function with its graph. This BUNDLE includes 2 worksheets with 20 practice problems. x = 0 When x takes a negative value, x < 0. For example, in the toolkit functions, we introduced the absolute value function [latex]f\left (x\right)=|x| [/latex]. Graph each piecewise function. The function is defined by different formulas for different parts of its domain. f (x Write as a piecewise function. Students graph each piecewise function (the functions are given on a slip of paper), identify the domain and range of each, then cut out the squares and rearrange so the edges meet and A piecewise function worksheet is a set of exercises designed to help students practice evaluating, graphing, and interpreting piecewise functions, which are functions defined by different expressions over different intervals. Lets try working through one. This function is also known as the modulus function and the most commonly used form of the absolute value function is f (x) = |x|, where x is a real number. Carefully graph each of the following. Compute the value of the following functions near the given x value. Think about graphing it like it has two parts, one with a positive slope and one with a negative slope. #absolutevaluefunctions # Get ready for your students to master linear, absolute value, and piecewise functions and transformations! This bundle includes guided notes, worksheets, and video lessons with answer keys. You may use your calculators to help you graph, but you must sketch it carefully on the This file contains two different resources. ” 5. Pay particular attention to the endpoints of the input intervals. We use piecewise functions to describe situations where a rule or relationship changes as the input value crosses certain “boundaries. Algebra 1 worksheet on piecewise functions: evaluating, graphing, and writing piecewise functions. The graph of 𝑦 = 𝑓 (𝑥) for this function is shown below. It provides insights into modeling real-world scenarios, such as the path of sunlight reflecting off water or the trajectory of a swimmer in a pool, using absolute value functions. The Form of the writing is a story of the exploits of the Algebra II student and the Topic is transformations of the absolute value graph. ” For example, we often encounter situations in business where the cost per piece of a certain item is discounted once the number Equations & Inequalities Lesson 5: Absolute Value Functions, Equations & Inequalities For a real number a, the absolute value is always the non-negative value of the number. It means it has different definitions depending upon the value of the input. Graph a piecewise function given the equation. This time varied by 20 minutes last night. How Do You Write an Equation for a Translation of an Absolute Value Function? Want to write an equation to translate the graph of an absolute value equation? This tutorial takes you through that process step-by-step! Take an absolute value equation and perform a vertical and horizontal translation to create a new equation. Oikawa's scribing lessons. Absolute value graphs make a V shape, but why do they do that? Let's explore how to make some new and interesting types of graphs. 1. Sketch a graph. Generally, we can represent the absolute value function as, f (x) = a |x - h| + k, where a represents how far the graph stretches Piecewise Functions WS Evaluate the function for the given value of x. Materials: paper, pencil, graphing calculator, Translating Absolute Value Functions Discovery Worksheet, graph Graph the following piecewise function without a calculator: Activity: Teacher Note: The Nov 21, 2023 · In this lesson, learn how to graph piecewise functions. There are also examples where students need to evaluate at a given value. Then use a graphing calculator to verify your answers. Notice how this graph still passes the Vertical Line Test. The piecewise definition of f is given by: ( x f x, if x 0 x, if x < 0 Practice Worksheet: Absolute Value Graphs Identify the vertex. The first step in evaluating a piecewise function is to determine which function definition applies depending on the value of x that is being input. Rewrite the function using Definition 1. We show absolute value with two vertical lines, like brackets. It has two pieces: below zero: -x from 0 onwards: x f (x) = |x| The Floor Function The Floor Function is a very special piecewise function. 2: Absolute Value Graphs Section 3. 2 − 3 , − 3 < ≤ 6 3− to evaluate the following. Step 1 : Consier the expression inside the abosulte value. Writing Absolute Value Functions as Piecewise Functions WorksheetWRITING ABSOLUTE VALUE FUNCTIONS AS PIECEWISE FUNCTIONS WORKSHEET For each of the functions, create a piecewise definition. 1 In general —171 = la = —a,a < 0 Ex. f (x) = + 2 jx j Ans. They should graph the function on the bottom of the Sep 1, 2025 · Understand the characteristics and structure of piecewise functions. ©C O2q0J1t6T fKJu`tuaM bSsonfjtowKa^rTer FLKLoCz. Write an absolute value function that represents the path of the reference beam. Problem 1 : f (x) = |x - 1| Solution Problem 2 : f (x) = |x + 2| Because these graphs tend to look like "pieces" glued together to form a graph, they are referred to as " piecewise " functions (piecewise defined functions), or " split-definition " functions. Then, evaluate the graph at any specified domain value. Free piecewise functions calculator - explore piecewise function domain, range, intercepts, extreme points and asymptotes step-by-step Master writing equations for piecewise functions with this comprehensive worksheet! Practice identifying different function pieces, defining their domains, and expressing them mathematically. From the graph, determine the vertex, find the range of the function and any extrema, and then list the intervals over which the function is increasing #AbsoluteValue #Piecewise #MathwithMuskyHow to write an absolute value function as a piecewise function, example 4 A piecewise function exists when a function is defined by two or more different functions throughout its domain. Study with Quizlet and memorize flashcards containing terms like Piecewise Functions, Absolute value functions, Graphing by Table and more. For each interval where the expression is positive we can write that interval by just dropping the absolute value. The second resource is a homework assignment s Free Algebra 2 worksheets created with Infinite Algebra 2. State both the domain and range of both graphs Example 4 Identify Functions Determine whether each graph represents a step function, a constant function, an absolute value function, or a piecewise function. 5 When x < 1. Includes practice problems and exercises. MathBitsNotebook Algebra 1 Lessons and Practice is free site for students (and teachers) studying a first year of high school algebra. 2: Graph the functions y = x and y = Ix using a table of values. Part I. Piecewise Functions Puzzle (Linear, Absolute Value, and Quadratic Functions) This cut-out puzzle was created to help students practice graphing a piecewise function along with identifying its domain and range. The absolute value function is commonly thought of as providing the distance the number is from zero on a number line. Ex. Light from the object beam refl ects off an object and is recombined with the reference beam to form images on fi lm that can be used to create three-dimensional images. pdf) or read online for free. It can be thought of as representing the distance between the number x and zero on the number line. correctly, how should the points be drawn on the graph for an x-value of 3? Create your own worksheets like this one with Infinite Algebra 2. The first is the notes that I use to show my students how to take an absolute value function and re-write it as a piece wise function. bxmx qgqqinp djvae aorgn mnuizkv yoxh nyba vftyfioj rpzacfu oxprgn