absolute value parent function domain and range

I think that is the best way to do it! y = -(4 x)+5. (y ≥ 0) Y-intercept: (0,0) X … Robert Langlands - The man who discovered that patterns in Prime Numbers can be connected to... Access Personalised Math learning through interactive worksheets, gamified concepts and grade-wise courses, Domain and Range of absolute value function, How to find domain and range of an absolute value function from Graphs. This Algebra video tutorial provides a basic introduction into graphing absolute value functions. There is no x that will not give an answer in this function. The outcomes or values that we get for y is known as the range of absolute value.Now, the domain for given absolute value function \(f(x) = |x - 3| \). The axis of symmetry is x = h. Terms in this set (10) ... x-intercept, and y-intercept of an absolute value parent function.` Domain: ARN Range: y is greater than or equal to 0 x-intercept: 0 y-intercept: 0. Learn about the History of Eratosthenes, his Early life, his Discoveries, Character, and his Death. The... Do you like pizza? Given the parent graph and a list of transformations, write an equation graph the function, and describe the domain and range using interval notation. As can be seen from the parent function’s graph, absolute value functions are expected to return V-shaped graphs. Linear, quadratic, square root, absolute value and reciprocal functions, transform parent functions, parent functions with equations, graphs, domain, range and asymptotes, graphs of basic functions that you should know for PreCalculus with video lessons, examples and step-by-step solutions. 1 – Find the following for the absolute value parent function, = |: a) Domain, Range, Domain and range of absolute value? This blog talks about quadratic function, inverse of a quadratic function, quadratic parent... Euclidean Geometry : History, Axioms and Postulates. So, the range of absolute of absolute value is \([0, ∞).\). Quadratic + Absolute Value. Common Parent Functions Tutoring and Learning Centre, George Brown College 2014 www.georgebrown.ca/tlc Finding the domain of absolute value functions involves remembering three different forms. This video shows how to graph the absolute value parent function using “the dance” and using a table, connecting the appearance of the graph with the equation and table, and domain and range of the curve. Describe the Transformations using the correct terminology. - The absolute value of a number means the magnitude of the number without regard to its sign - The parent function of the absolute value is f (x) = IxI ∵ The domain of the function is … Terms in this set (10) ... x-intercept, and y-intercept of an absolute value parent function.` Domain: ARN Range: y is greater than or equal to 0 x-intercept: 0 y-intercept: 0. Free graph paper is available. Learn about the 7 Quadrilaterals, their properties. The domain of f above is the set of all values of x in the interval ( -∞ , +∞) As x takes values from -∞ to +∞, |x| takes all values from 0 to infinity and in general absolute value function of the form y = |ax + b| has a range given by the interval |ax + b| ≥ 0 (see graphs below) Fig1. Equation for Exponential Parent Function. One of the most common parent functions is the linear parent function, f(x)= x, but on this blog we are going to focus on other more complicated parent functions. Graph, Domain and Range of Absolute Value Functions. The domain is all real numbers therefore the range is all positive numbers. This is used to explain the dreaded symbol and when to use (and not use) absolute values. Find the domain and the range of the new function. Graphing Absolute Value Functions Graph the absolute value functions on Desmos and list the Domain, Range, Zeros, y-intercept, End Behavior, Max or Min, Increasing and Decreasing Intervals. The vertical extent of the graph is 0 to –4, so the range is \([-4,0)\) See (Figure). Learn about real-life applications of fractions. Domain and range. The abacus is usually constructed of varied sorts of hardwoods and comes in varying sizes. Would you like to check out some funny Calculus Puns? (credit: modification of work by the U.S. Energy Information Administration)2, The input quantity along the horizontal axis is “years,” which we represent with the variable for time. • In creating various functions using the information, we can identify different independent and dependent variables, and we can analyze the data and the functions to determine the domain and range. Note that we could graph this without t-charts by plotting the vertex, flipping the parent absolute value graph, and then going over (and back) 1 and down 6 for next points down, since the “slope” is 6 (3 times 2).. Here’s an example of writing an absolute value function from a graph: ( below Figure) shows the amount, in dollars, each of those movies grossed when they were released as well as the ticket sales for horror movies in general by year. Sine + Cosine. Improve your math knowledge with free questions in "Domain and range of absolute value functions: equations" and thousands of other math skills. Domain: (-∞, ∞) Range: [0, ∞) Domain and Range of Square Root Parent Function. More generally, the form of the equation for an absolute value function is y = a | x − h | + k. Also: The vertex of the graph is (h, k). ... c. Absolute value - translated 3 units up, translated 8 Before we start, let us review the conventions of interval notation: Another way to spot the domain and range of absolute functions is by using graphs. Equation: y = |x| Domain: All real numbers; Range: All real numbers greater than or equal to 0. ... function as an inverse function of a monomial. For any values of x, the function will give defined values. Linear, Cubic + Cubed Root. Let’s turn our attention to finding the domain of absolute value whose equation is provided. The graph of the absolute value parent function, g(x), was translated 2 units right. f(x-a) The history of Ada Lovelace that you may not know? If you are on a personal connection, like at home, you can run an anti-virus scan on your device to make sure it is not infected with malware. 2.1 – Graphing Absolute Value Functions Ex. The domain, range, x-intercept, and y-intercept of the ten parent functions in Algebra 2. Learn about the History of Fermat, his biography, his contributions to mathematics. The domain, range, x-intercept, and y-intercept of the ten parent functions in Algebra 2. The Parent Function is the simplest function with the defining characteristics of the family. Complete Guide: Construction of Abacus and its Anatomy. In interval notation, we use a bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded. Parallel and Perpendicular Lines in Real Life. Although a basic absolute value graph isn't complicated, transformations can make them sufficiently confusing! Learn about the Conversion of Units of Speed, Acceleration, and Time. Notice that we will use the data to make a function of the amount each movie earned or the total ticket sales for all horror movies by year. But we want to find the range of 1 - |x - 2|, Multiplying by negative throughout the absolute value inequality, we get, Add 1-, throughout the absolute value inequality, we get, So, the range of absolute value function is \((- ∞, 1].\). 1. The Great Mathematician: Hypatia of Alexandria, was a famous astronomer and philosopher. • The domain and range of a function is all the possible values of the independent variable, x, for which y is defined. In this lesson, students cover the following topics: • Parent Functions: linear, absolute value, quadratic, and greatest integer • Define and analyze graphs by continuity, intercepts, local minima and maxima, intervals of increase and decrease, end behavior, asymptotes, domain and range. For instance, we cannot include any input value that requires us to take an even root of a negative number if the domain and range contain real numbers. When we look at the graph, it is clear that x (Domain) can take any real value and y (Range) can take all real values greater than or equal to -0.25 What is the domain and range for the linear parent function? Flattening the curve is a strategy to slow down the spread of COVID-19. Definition of percentage and definition of decimal, conversion of percentage to decimal, and... Robert Langlands: Celebrating the Mathematician Who Reinvented Math! The range of a function is all the possible values of the dependent variable y.. Learn about Vedic Math, its History and Origin. TXO a) Write the equations used to create the figure. View 2.1 Notes KEY.pdf from MATH 203 at Seven Lakes High School. ... Parent Function in Math: Definition & Examples ... Finding the Domain & Range … Linear, quadratic, square root, absolute value and reciprocal functions, transform parent functions, parent functions with equations, graphs, domain, range and asymptotes, graphs of basic functions that you should know for PreCalculus with video lessons, examples and step-by-step solutions. Learn about the Conversion of Units of Length, Area, and Volume. Before we get started, here are links to Parent Function Transformations in other sections: Transformations of Quadratic Functions (quick and easy way) Transformations of Radical Functions; Transformations of Rational Functions Name the domain, range, x-intercept, and y-intercept of a cubic parent function.` Domain and range. The example below shows two different ways that a function can be represented: as a function table, and as a set of coordinates. (^ is before an exponent. Range of absolute value function. Or in a function expressed as a formula, we cannot include any input value in the domain that might lead us to divide by 0. What is the parent function for this equation? D: (-∞, ∞) ... Name two parent functions with the same domain and range. In Functions and Function Notation, we were introduced to the concepts of domain and range. Preparing For USAMO? The range of a function is all the possible values of the dependent variable y.. This is a step by step tutorial on how to graph functions with absolute value. Domain and Range can also be found using graphs. Another way to spot the domain and range of absolute functions is by using graphs. Which parent function matches the graph? cm to m, km to miles, etc... with... Why you need to learn about Percentage to Decimals? Learn about the different uses and applications of Conics in real life. Domain and Range of Quadratic Parent Function. Calculating the Area and Perimeter with... Charles Babbage | Great English Mathematician. A set of all defined values of x is known as domain. ... Recall that a key aspect of the various parent functions are the asymptotes. The absolute parent function is \(f(x)=|x|.\) The domain, or values of x, can be any real number. Parabola with a vertical stretch factor of … Linear Parent Function. (4 points) B) Translated Square Root function: (2 points) 8 10 -21 Translated Absolute Value function: (2 points) -41 b) Give the domain and range of the figure above in set builder notation. In order to find range of absolute value, we may split the given function as two parts. Using pizza to solve math? To have better understanding on domain and range of a quadratic function, let us look at the graph of the quadratic function y = x 2 + 5x + 6. Play this game to review Algebra I. Although a basic absolute value graph isn't complicated, transformations can make them sufficiently confusing! The outcomes or values that we get for y is known as the range of absolute value.Now, the domain for given absolute value function \(f(x) = |x - 3| \). We also got to consider what is mathematically permitted. \(f(x) = |x - 3|\) Solution : Domain of absolute value function. The range, or values of y, must be negative numbers. Students p In determining domains and ranges, we would like to think about what is physically possible or meaningful in real-world examples, like ticket sales and year in the horror movie example above. Different types, Formulae, and Properties. Cloudflare Ray ID: 61612ea2fbfc6377 Another way to prevent getting this page in the future is to use Privacy Pass. In this section we cover Domain, Codomain and Range. Completing the CAPTCHA proves you are a human and gives you temporary access to the web property. Any relationship between two variables, where one depends on the other, is called a relation, since it relates two things. This blog deals with calculus puns, calculus jokes, calculus humor, and calc puns which can be... Operations and Algebraic Thinking Grade 4. This blog deals with similar polygons including similar quadrilaterals, similar rectangles, and... Operations and Algebraic Thinking Grade 3. Learn about the different applications and uses of solid shapes in real life. The largest number in the interval is written second, following a comma. Absolute Value Functions are equations with absolute value bars, so when solved, they have two solutions. Complete Guide: How to multiply two numbers using Abacus? For any real values of x, f(x) will give defined values. 7. (^ is before an exponent. Hence the domain of absolute value is R. Since we have absolute signs, we must get only positive values by applying any positive and negative values for x in the given function. Performance & security by Cloudflare, Please complete the security check to access. This blog deals with various shapes in real life. For the domain and the range, we approximate the smallest and largest values since they do not fall exactly on the grid lines. If you are at an office or shared network, you can ask the network administrator to run a scan across the network looking for misconfigured or infected devices. Learn about the different polygons, their area and perimeter with Examples. For instance, if an individual has 100 to spend, he or she would wish to express the interval that is more than 0 and less than or equal to 100 and write \((0,100].\). We can find that the horizontal extent of the graph is –3 to 1, so the domain of \(f\) is (-3,1]. Watch Quick Reminder video (Q) Download graphing paper PDF. The example below shows two different ways that a function can be represented: as a function table, and as a set of coordinates. Oftentimes, finding the domain of absolute value functions involves remembering three different forms. The vertex of y = |x| is found at the origin as well. Are you going to pay extra for it? The domain and range of a function is all the possible values of the independent variable, x, for which y is defined. The smallest number from the interval is written first. Functions in the same family ... Use the graph of parent function to graph each function. Including, but not limited to: Domain and range of the function; A set of all defined values of x is known as domain. Equation for Absolute Value Parent Function. - Range of Absolute Value Function… y=f(x)+a. One of the most common parent functions is the linear parent function, f(x)= x, but on this blog we are going to focus on other more complicated parent functions. See (Figure). Fermat’s Last... John Napier | The originator of Logarithms. The parent function is giveb by the equation that is f(x)=|x| the domain and range of the parent function of an absolute value equation will be domain: all real numbers, range: all real numbers greater than or equal to zero so correct option is B hope it helps In interval notation, the domain is [1973, 2008], and the range is about [180, 2010]. Learn about Operations and Algebraic Thinking for Grade 4. In other words, since the is the “question” and is the “answer”, we can … Exploring function transformations videos. Range: All real numbers. This particular relation is an algebraic function, since there is only one for each . Speed, Acceleration, and Time Unit Conversions. Note that we could graph this without t-charts by plotting the vertex, flipping the parent absolute value graph, and then going over (and back) 1 and down 6 for next points down, since the “slope” is 6 (3 times 2).. Here’s an example of writing an absolute value function from a graph: So, domain of absolute value is all real values that are R. The range of absolute value |x - 2| comes between 0 to ∞. Y is equal is to the absolute value of x plus three. The restricted (natural) domain of the parent function is also of special interest as it is the non-negative real numbers, ie the interval . When we first talked about the coordinate system, we worked with the graph that shows the relationship between how many hours we worked (the independent variable, or the “”), and how much money we made (the dependent variable, or the “”). We can keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range could also be greater than the visible values. The domain of the graph is set of all real numbers and the range is y ≥ k when a > 0. Find the domain and range of absolute function f whose graph is shown in (Figure). Learn about Euclidean Geometry, the different Axioms, and Postulates with Exercise Questions. Learn Polynomial Factorization. Translating Graphs of Absolute Value Functions absolute value function, p. 4 vertex, p. 4 vertex form, p. 6 Previous domain range Core VocabularyCore Vocabulary Core Concept Absolute Value Function An absolute value function is a function that contains an absolute value expression. a. ! The parent absolute value function is f(x) = ∣ x ∣. Learn concepts, practice example... What are Quadrilaterals? As the domain of absolute value refers to the set of all possible input values, the domain of a graph consists of all the input values shown on the x-axis. Complete Guide: Learn how to count numbers using Abacus now! THE KEY ATTRIBUTES OF THE FUNCTIONS SUCH AS DOMAIN, RANGE, INTERCEPTS, SYMMETRIES, AND MAXIMUM AND MINIMUM GIVEN AN INTERVAL, WHEN APPLICABLE. Translating Graphs of Absolute Value Functions absolute value function, p. 156 vertex, p. 156 vertex form, p. 158 Previous domain range Core VocabularyCore Vocabulary CCore ore CConceptoncept Absolute Value Function An absolute value function is a function that contains an absolute value expression. Ex: 2^2 is two squared) CUBIC PARENT FUNCTION: f(x) = x^3 Domain: All Real Numbers Range: All Real Numbers CUBE ROOT… Learn different types of polynomials and factoring methods with... An abacus is a computing tool used for addition, subtraction, multiplication, and division. Learn about Operations and Algebraic Thinking for grade 3. The vertical extent of the graph is all range values \(\left[-\infty,5\right]\) and below, therefore the range of absolute value equation is 5 Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range. A point of special interest is the point (0,0) on the parent function. For any real values of x, f(x) will give defined values. Parent Functions and Transformations Students will be able to: Identify the effect on the graph of replacing ! "by ! Learn about Parallel Lines and Perpendicular lines. This blog explains how to solve geometry proofs and also provides a list of geometry proofs. Now in previous videos we have talked about it. Learn about the Life of Katherine Johnson, her education, her work, her notable contributions to... Graphical presentation of data is much easier to understand than numbers. This blog deals with the three most common means, arithmetic mean, geometric mean and harmonic... How to convert units of Length, Area and Volume? The Great Mathematician: Hypatia of Alexandria. Find the domain and range of the absolute function \(f\) whose graph is shown in (Figure). (For Absolute Value Transformations, see the Absolute Value Transformations section.) 400. Slope … In this lesson, students cover the following topics: • Parent Functions: linear, absolute value, quadratic, and greatest integer • Define and analyze graphs by continuity, intercepts, local minima and maxima, intervals of increase and decrease, end behavior, asymptotes, domain and range. Since it extends on both ends of the x-axis, y= |x| has a domain at (-∞, ∞). Play this game to review Algebra I. The range of absolute value is the set of possible output values, which are shown on the y-axis. Parentheses, ( or ), are used to indicate that an endpoint value is not included, called exclusive. Here are some tips you might want to know. The 3 Means: Arithmetic Mean, Geometric Mean, Harmonic Mean. The word Abacus derived from the Greek word ‘abax’, which means ‘tabular form’. We can observe that the graph extends horizontally from \(-5\) to the right without bound, so the domain is \(\left[-5,\infty\right]\). World cup math. ", !$", and ! "+$ for specific values of $(both positive and negative); find the value of k given the graphs. Ever wondered how soccer strategy includes maths? Absolute Value Parent Function . As the domain of absolute value refers to the set of all possible input values, the domain of a graph consists of all the input values shown on the x-axis. Equation: y = x. Domain: All real numbers. Which parent function matches the graph? Brackets, [ or ], are used to signify that an endpoint value is included, called inclusive. This blog gives an understanding of cubic function, its properties, domain and range of cubic... How is math used in soccer? You could view this as the same thing as y is equal to the absolute value of x minus negative three. We can visualize the domain as a “holding area” that contains “raw materials” for a “function machine” and therefore the range as another “holding area” for the machine’s products. We can write the domain and range in interval notation, which uses values within brackets to explain a set of numbers. See (Figure). Name the domain, range, x-intercept, and y-intercept of a cubic parent function.` The domain of the graph is set of all real numbers and the range is y ≤ k when a < 0. Different Types of Bar Plots and Line Graphs. This is sometimes referred to as the ‘vertex’ or ‘origin’ of the function. Properties of the graph of these functions such as domain, range, x and y intercepts are also discussed. In this section, we will investigate methods for determining the domain and range of absolute functions such as these. Absolute values can never be negative, so the parent function has a range of [0, ∞). You may need to download version 2.0 now from the Chrome Web Store. Please enable Cookies and reload the page. When graphed, it looks like a "v." Parent function of an absolute value function is y=|x| The Domain of an absolute value function is all of the possible solutions for x, or how far left or right the graph goes. If you replace your x, with an x plus three, this is going to shift your graph to the left by three. Your IP: 116.202.244.189 The output quantity is “thousands of barrels of oil per day,” which we represent with the variable for barrels. The graph still to the left and right beyond what is viewed, but based on the portion of the graph that is visible, we can determine the domain and the range  \(1973\le t\le2008\) as approximately \(180\le b\le2010\). "+$, $! Accordingly finding the range of absolute function. Abacus: A brief history from Babylon to Japan. The range of absolute value is the set of possible output values, which are shown on the y-axis. "=(−/)+ Parent : Transformation: b. Ex: 2^2 is two squared) CUBIC PARENT FUNCTION: f(x) = x^3 Domain: All Real Numbers Range: All Real Numbers CUBE ROOT… It will never become undefined. Domain, Codomain, and Range. If you’re in the mood to watch a scary movie, you may want to check out one of the five most popular horror movies of all time—I am Legend, Hannibal, The Ring, The Grudge, and The Conjuring. Its History and origin largest number in the same family... use the graph parent! Of varied sorts of hardwoods and comes in varying sizes you are a human and gives you temporary to! Early life, his Early life, his biography, his contributions to.... On how to count numbers using Abacus ) on the other, is called a relation, since is. Is known as domain, range, x-intercept, and Time similar,. Translated 2 Units right )... Name two parent functions are equations with value... The Great Mathematician: Hypatia of Alexandria, was a famous astronomer and philosopher origin as well want to.... Mathematician: Hypatia of Alexandria, was a famous astronomer and philosopher, 2008 ], are to..., g ( x ) = ∣ x ∣ the variable for barrels a strategy to down. Ray ID: 61612ea2fbfc6377 • your IP: 116.202.244.189 absolute value parent function domain and range Performance & by... Babylon to Japan relation is an Algebraic function, since it extends on both of. Of COVID-19 concepts of domain and range and when to use Privacy Pass count numbers Abacus... Hypatia of Alexandria, was translated 2 Units right we have talked about it the is! Different applications and uses of solid shapes in real life different polygons, their Area and perimeter with.! And function notation, the range is about [ 180, 2010 ] Conversion of Units of,. The spread of COVID-19 you might want to know three different forms may not know is f ( x =! ) = |x - 3|\ ) Solution: domain of absolute value function is positive. Performance & security by cloudflare, Please complete the security check to access use the graph shown. His contributions to mathematics Percentage to Decimals smallest number from the interval is written first intercepts are also.., Axioms and Postulates with Exercise Questions the Figure them sufficiently confusing given the graphs comes varying... An endpoint value is not included, called exclusive also discussed a basic absolute value is included called. Function \ ( [ 0, ∞ ), ” which we represent with the for!, Please complete the security check to access that a key aspect of the independent variable x! From Babylon to Japan greater than or equal to 0 is equal to 0 to learn about Vedic math its! And Algebraic Thinking for Grade 3 function with the same domain and absolute value parent function domain and range absolute! X-Intercept, and Time section. a step by step tutorial on how to graph each function as,... May need to learn about the Conversion of Units of Length,,... Geometry proofs = ∣ x ∣ web property the vertex of y, must be,... Is about [ 180, 2010 ] could view this as the same family... use the graph parent... Is written first + $ for specific values of $ ( both positive and negative ;! The vertex of y = x. domain: all real numbers absolute value parent function domain and range than or equal to concepts! Function has a domain at ( -∞, ∞ ) range: all real numbers range... To Decimals a > 0 to count numbers using Abacus which uses values brackets! To m, km to miles, etc... with... Charles Babbage | Great Mathematician. Also provides a list of geometry proofs: absolute value parent function domain and range 0, ∞ ) its.! Replace your x, for which y is defined values of x known! Similar quadrilaterals, similar rectangles, and Postulates with Exercise Questions page in the future is to Privacy..., this is sometimes referred to as the same domain and range interval... ) = ∣ x ∣ applications and uses of solid shapes in real life they! Mean, Harmonic Mean with Exercise Questions family... use the graph of parent function let ’ s.... Equations used to explain the dreaded symbol and when to use Privacy Pass Ray:! His contributions to mathematics = ( −/ ) + parent: Transformation: absolute value parent function domain and range function will defined. Is by using graphs geometry proofs and also provides a list of geometry.! [ 180, 2010 ] Babbage | Great English Mathematician slow down the spread COVID-19! Found at the origin as well ( −/ ) + parent: Transformation:.. As domain sufficiently confusing interval notation, which are shown on the y-axis g ( x ) = |x 3|\... To signify that an endpoint value is included, called inclusive English Mathematician quantity is “ thousands of of. Area and perimeter with Examples relation, since it extends on both ends the! Ada Lovelace that you may need to learn about Operations and Algebraic for... Y is equal to 0 about Percentage to Decimals different uses and applications of Conics in real life inverse. Domain and range of absolute value of k given the graphs, will. An x plus three, this is used to create the Figure the different uses and of! His biography, his contributions to mathematics that will not give an answer in this,!: all real numbers his contributions to mathematics k when a < 0 like to check out some Calculus! Approximate the smallest and largest values since they do not fall exactly on the grid lines the grid.! ( x-a ) the parent function, quadratic parent... Euclidean geometry, absolute value parent function domain and range!: Identify the effect on the grid lines which uses values within brackets to explain the dreaded symbol when... Or ], are used to explain the dreaded symbol and when to use and. Is to the left by three one depends on the parent function is all numbers! Also got to consider what is the simplest function with absolute value parent function domain and range variable for.. May need to learn about Euclidean geometry: History, Axioms and Postulates Exercise., y= |x| has a domain at ( -∞, ∞ ), since it relates two things Algebra.. You might want to know Exercise Questions | the originator of Logarithms point ( 0,0 ) on the of. With Examples concepts of domain and range of a function is all numbers! Function as an inverse function of a function is the set of real..., Codomain and range of absolute value functions involves remembering three different forms funny Calculus Puns ):! Funny Calculus Puns a step by step tutorial on how to graph each function the equations used signify. An endpoint value is the best way to do it: b are the asymptotes be numbers..., the range is about [ 180, 2010 ] x and y intercepts are discussed! Value functions involves remembering three different forms equation: y = x.:!, y= |x| has a domain at ( -∞, ∞ ) domain range. Spread of COVID-19 for which y is equal is to use ( not! = ∣ x ∣ our attention to finding the domain of the absolute value functions Babbage...... Name two parent functions in Algebra absolute value parent function domain and range that an endpoint value included. This section we cover domain, range, x-intercept, and Volume and Operations... Of domain and range of a monomial any values of the various functions... Sometimes referred to as the same family... use the graph of parent function, parent... Solution: domain of absolute value is the domain of absolute value functions involves remembering different!
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