©W 92 k0a1e2 H GKUuMtDad mSMoGf4t ywkawrqeA pLgLrCb. 5 d EAhlLlf drVi9gKh1t 6sV Nrceds 5e Srwvle5d2.z t lMNaRd 1e0 wmiAtahq 7I fnsf Giwnki4tNeJ 3AnlPgve TbZr kae N2h. F Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Function Operations Date_____ Period____1-6 Function Operations And Composition Of Functions - Pre-Calculus. Here are Free Resources for your lesson on Function Operations and Composition of Functions Worksheet, Guided Notes, Lesson Plan, Bell Work, & PowerPoint.Download Function Operations Worksheet with Solutions and more Mathematics Exercises in PDF only on Docsity! ©P 9260d162V QKcuqt3ag 1SZoafGtYweaPrSe7 BLKL7C4.t r bAOlKlj grUikguhStfsc mrYeosmeBrIvOecdl.Z i NMOaOdReL EwciStahZ XIunRfei5nZiete U 9Ahlagreeb6ra V 52v.1 Worksheet by Kuta …1a - Introduction to functions. 1a - Introduction to functions. 1b - Domain and range. 1b - Domain and range. 1c - Rates of change. 1c - Rates of change. 1d - Function composition and one-to-one functions. 1d - Function composition and one-to-one functions. 1e - Inverse functions.Answer two questions about these functions. ... Precalculus. Course: Precalculus > Unit 1. Lesson 5: Verifying inverse functions by composition. Verifying inverse functions from tables. Using specific values to test for inverses. Verifying inverse functions by composition. Verifying inverse functions by composition: not inverse. Verifying …7 Functions Examples: Functions are most commonly written as yfx , where x is the input value and y is the output value. In other words, the value for y is completely determined by the value of x. Sometimes x is referred to as the independent variable and y as the dependent variable. The domain of a function is the set of all the values that can be …Khan Academy’s 100,000+ free practice questions give instant feedback, don’t need to be graded, and don’t require a printer. Math Worksheets. Khan Academy. Math worksheets take forever to hunt down across the internet. Khan Academy is your one-stop-shop for practice from arithmetic to calculus. Math worksheets can vary in quality from ...RELATIONS & FUNCTIONS Worksheet 1. Using the vertical line test, determine if the graph above shows a relation, a function, both a relation and a function, or neither a relation nor a function. A. neither a relation nor a function B. relation only C. both a relation and a function D. function only 2. Which of these graphs represents a function ...front and the back of each page. Be sure that you answer 35 different questions. A special answer sheet is provided so that your answers can be machine graded. • You must use a pencil with a soft black lead (# 2 or HB) to enter your answers on the answer sheet. • For each question choose the response which best fits the question. Graphing Functions Using Stretches and Compressions. Adding a constant to the inputs or outputs of a function changed the position of a graph with respect to the axes, but it did not affect the shape of a graph. We now explore the effects of multiplying the inputs or outputs by some quantity.(c) Look at the answer from part (b) as a stand - alone function (ignoring the fact that it is a composition of functions) and find its domain. (d) Take the intersection of the domains found in steps (a) and (c). This is the domain o f fg. Note: We check the domain of g because it is the inner function of fg, i.e. f g x. If an x-value isIn this chapter, we will learn about these concepts and discover how mathematics can be used in such applications. 1.0: Prelude to Functions. 1.1: Functions and Function Notation. 1.2: Domain and Range. 1.3: Rates of Change and Behavior of Graphs. 1.4: Composition of Functions.Graphing quadratic inequalities. Factoring quadratic expressions. Solving quadratic equations w/ square roots. Solving quadratic equations by factoring. Completing the square. Solving equations by completing the square. Solving equations with the quadratic formula. The discriminant. Polynomial Functions.(9) Construct three examples of functions using the infinite sets you presented in question (1). (10) What is the domain of a function? What is the domain of each of the six examples ofCHAPTER 1 A Review of Functions 84 University of Houston Department of Mathematics (b) 6 6 Up 6 Reflect in the -axis f x x g x x h x x y o o (c) Yes, parts (a) and (b) yield the same function. Example Problem 4: Start with the function f x x , and write the function which results from the given transformations.Precalculus Practice F.BF.A.1: Compositions of Functions Page 1 www.jmap.org [1] gf(( )) = –3 –22 [2] fg(()) = 217– [3] A [4] A [5] C [6] gf f g(()) = , (( )) = 3 578 32–2 [7] B [8] B [9] Answers may vary. Sample: fx x() 2 and gx x() 4 [10] To get p 1 4 F HG I KJ, qx() will have to equal 1 4. That means 5 1 4 x2 or x2 19 4 which makes x ... Jan 20, 2022 · 3) If the order is reversed when composing two functions, can the result ever be the same as the answer in the original order of the composition? If yes, give an example. If no, explain why not. 4) How do you find the domain for the composition of two functions, \(f{\circ}g\)? 5) How do you graph a piecewise function? Answers 1-5: 1. be able to add, subtract, and multiply. The students will be able to compose functions and evaluate them, given their equations. The students will also be able to decompose a composite function. Materials: Hw #1-1 answers overhead; Do Now worksheet; pairwork; hw #1-2 Time Activity 10 min Homework Review Put up the answers to hw #1-1 on the ...This collection of worksheet pdfs on arithmetic operations on functions is a must-have for high school students to learn to add, subtract, multiply and divide functions. Students move step-by-step from easy to moderate levels and master function operations in the process. Get an in-depth knowledge of composition of functions as well.Definition of the derivative. Instantaneous rates of change. Power rule for differentiation. Motion along a line. Approximating area under a curve. Area under a curve by limit of sums. Indefinite integrals. Free Precalculus worksheets created with Infinite Precalculus. Printable in convenient PDF format.11) Write a piecewise function where lim x f(x) , lim x f(x) , and f( ) . Many answers. Ex: f (x) = {x , x x, x x , x Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.comCHAPTER 1 A Review of Functions 84 University of Houston Department of Mathematics (b) 6 6 Up 6 Reflect in the -axis f x x g x x h x x y o o (c) Yes, parts (a) and (b) yield the same function. Example Problem 4: Start with the function f x x , and write the function which results from the given transformations. Operations with Functions Worksheets. This collection of worksheet pdfs on arithmetic operations on functions is a must-have for high school students to learn to add, subtract, multiply and divide functions. Students move step-by-step from easy to moderate levels and master function operations in the process.Microsoft PowerPoint slides can embed worksheets that access all the functions of an Excel spreadsheet. The slide doesn't have to display all of the worksheet's rows and columns. For example, if the first ten rows of a worksheet contain raw...Jun 14, 2021 · Composition of Functions. When the output of one function is used as the input of another, we call the entire operation a composition of functions. For any input x and functions f and g, this action defines a composite function, which we write as f ∘ g such that. (f ∘ g)(x) = f(g(x)) Solution. Use the Squeeze Theorem to determine the value of lim x→0x4sin( π x) lim x → 0. . x 4 sin. . ( π x). Solution. Here is a set of practice problems to accompany the Computing Limits section of the Limits chapter of the notes for Paul Dawkins Calculus I course at Lamar University.Chapter 2: Functions and Their Graphs. All assignments are due at the start of the next class period. The first assignments of this school year will be completed on paper: Current assignments are currently not available on Mathxl, the precalculus online homework program. For full credit, use separate paper: please write your full name, class ...Topic : Composition of Functions - Worksheet 1 ANSWERS 1. 15 2. -23 3. 127 4. 4x + 1 5. 1176x2 + 672x + 96 6. 84x2 + 4 7. (f ... Topic : Composition of Functions - Worksheet 2 ANSWERS 1. 19 2. -34 3. 224 4. 5x + 1 5. 32x2 + 256x + 512 6. 32x2 + 256x + 512 7. (f ...The two functions yx ln and y ex are commonly used in the study of calculus, and it is a good idea to familiarize yourself with them. The function yx ln has domain x 0and the function y ex has domain all real numbers. Note: The properties of logarithms can be performed in either direction. In certain cases it might bea heartbeat then you should be well prepared for what comes up in a beginning calculus class. This worksheet is meant as a study guide and review of material from geometry, algebra 2, trigonometry, and precalculus, and does not constitute a replacement for taking those classes. 1.1 Parent FunctionsThe answers for worksheets in Marcy Mathworks educational products are found in the Answer section, located in the back of each book. Students receiving an individual Marcy Mathworks worksheet for homework should check with their teacher fo...Topic : Composition of Functions - Worksheet 2 ANSWERS 1. 19 2. ... Topic : Composition of Functions - Worksheet 5 ANSWERS 1. 213 2. 369 3. 237 4. 82 5. 56 6. 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. Linear Functions. Graph of Linear Functions. Modeling with Linear Functions ... Composition of Functions Name_____ ©r A2T0N1Z8Y OKpuwtaaw tSjobfPtdw`aBrYet _LlLjCx.I ` iAIlolE GrFifgFhztgsN irSeHsHeGrfv\eCdZ.-1- Perform the indicated operation. ... Worksheet by Kuta Software LLC 432 Composition of Functions Name_____ ©z Z2D0V1[8\ \KcultOaA OSno\fLtswMavrYev rLTLYC^.R X iARlclY KrKiSg\hDtYsJ …Pre-Calculus Assignment Sheet . Unit 1 - Parent Functions and their Graphs . August 26 – September 6, 2013. Date Lesson Assignment Day 1 Monday Aug. 26 Introductory Activities. 1. Print Unit 1 from Website www.thsprecalculus.weebly.com 2. get graph composition journalGraphing Functions Using Stretches and Compressions. Adding a constant to the inputs or outputs of a function changed the position of a graph with respect to the axes, but it did not affect the shape of a graph. We now explore the effects of multiplying the inputs or outputs by some quantity.Create the worksheets you need with Infinite Precalculus. Fast and easy to use Multiple-choice & free-response Never runs out of questions Multiple-version printing Free 14-Day Trial Windows macOS Functions Continuity Extrema, intervals of increase and decrease Power functions Average rates of change Transformations of graphsPrintable in convenient PDF format. Kuta Software. Open main menu. Products Free Worksheets Infinite Pre-Algebra Infinite Algebra 1. Infinite Geometry ... Create the worksheets you need with Infinite Algebra 1. Fast and easy to use; Multiple-choice & free-response; Never runs out of questions; ... Relations and Introduction to Functions. …The function is a function whose output is the number of gallons used corresponding to the number of miles driven. This means: The expression takes miles as the input and a number of gallons as the output. The function requires a number of hours as the input. Trying to input a number of gallons does not make sense.Follow the step-by-step instructions below to design your composite function worksheet make: Select the document you want to sign and click Upload. Choose My Signature. Decide on what kind of signature to create. There are three variants; a typed, drawn or uploaded signature. Create your signature and click Ok. Prepare your students for calculus with topics like continuity, limits, rate of change, vectors, matrices, and more. Use our printable precalculus worksheets for in-class practice, …Systems of Equations (Graphing & Substitution) Worksheet Answers. Solving Systems of Equations by Elimination Notes. System of Equations Day 2 Worksheet Answers. Solving Systems with 3 Variables Notes. p165 Worksheet Key. Systems of 3 Variables Worksheet Key. Linear-Quadratic Systems of Equations Notes.The process of combining functions so that the output of one function becomes the input of another is known as a composition of functions. The resulting function is known as a composite function. We represent this combination by the following notation: (f ∘g)(x)= f (g(x)) ( f ∘ g) ( x) = f ( g ( x))• Algebra I tasks are limited to linear, quadratic and exponential functions of the form f(x)=a(b) x where a>0 and b>0 (b≠1). • Work with geometric sequences may involve an exponential equation/formula of the form a n =ar n -1 , …The process of combining functions so that the output of one function becomes the input of another is known as a composition of functions. The resulting function is known as a composite function . We represent this combination by the following notation:Complete answers and explanations help you identify weaknesses and attain maximum benefits out of the practice test. Understand the Basic Concepts of Algebra I, II, Geometry, Statistics, and Trigonometry. Learn Problem Solving Techniques. $14.00 ISBN 978-0-9754753-6-2 PDFWrite the inverse of h(x)=x -3. Page 2. X52 fcx y=x ух. Pre-Calculus Objective 2.04 Composition/Inverse Functions. 1. Write the inverse of f(x) = (x-2)²+3 if x ...Another way to combine functions is used frequently and plays an important role in both precalculus and calculus. ... Composition of functions with the absolute ...The easy level worksheets introduce the concept of composition of two or three functions, evaluating functions, offering linear, quadratic and constant functions, while the moderate levels builds on and enhances skills acquired involving polynomial, exponential, logarithmic and rational functions. Learn to decompose functions as well.Software for math teachers that creates custom worksheets in a matter of minutes. Try for free. Available for Pre-Algebra, Algebra 1, Geometry, Algebra 2, Precalculus, and Calculus.Domain and Range Worksheets. This compilation of domain and range worksheet pdfs provides 8th grade and high school students with ample practice in determining the domain or the set of possible input values (x) and range, the resultant or output values (y) using a variety of exercises with ordered pairs presented on graphs and in table format.Functions Worksheet. Domain Range and Function Notation. 1. Find the domain a. f ... Algebra with Functions and Composition. 1. If f (x) = 4x2 + 3x +2 and g(x) ...Composition of Functions Worksheet 2 Name _____ I. 2f(x) = 2x – 1 g(x) = 3x h(x) = x + 1 Compute the following: 1. f(g(-3)) 2. f(h(7)) 3.1-12; these chapters cover functions, their graphs and some basic exam-ples. This material is fully developed, in case you need to brush up on a particular topic. If you have never encountered the concept of a function, graphs of functions, linear functions or quadratic functions, this course will probably seem too advanced.Composition of Functions using Tables and Graphs When working with functions given as tables and graphs, we can look up values for the functions using a provided table or graph, as discussed in section 1.1. We start evaluation from the provided input, and first evaluate the inside function. We can then use theIn this chapter, we will learn about these concepts and discover how mathematics can be used in such applications. 1.0: Prelude to Functions. 1.1: Functions and Function Notation. 1.2: Domain and Range. 1.3: Rates of Change and Behavior of Graphs. 1.4: Composition of Functions.21) Write a function that has an infinite discontinuity at x . f (x) x 22) Write a function that is continuous over ( , ), ( , ), and ( , ) and discontinuous everywhere else. f (x) x x x Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.comAug 1, 2017 · Sample Problem 3: Find and then evaluate each composite function. Decomposition of Composite Functions When you form a composite function, you “compose” two functions to form a new function. It is also possible to reverse this process. You can “decompose” a given function and express it as a composition of two functions. Although there is Worksheets. Relations and Functions. Evaluations of Functions. The Horizontal Line Test. 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.CHAPTER 2 Polynomial and Rational Functions 188 University of Houston Department of Mathematics Example: Using the function P x x x x 2 11 3 (f) Find the x- and y-intercepts. (g) Sketch the graph of the function. Be sure to show all x-and y-intercepts, along with the proper behavior at each x-intercept, as well as the proper end behavior. Solution:1-6 Function Operations And Composition Of Functions - Pre-Calculus. Here are Free Resources for your lesson on Function Operations and Composition of Functions Worksheet, Guided Notes, Lesson Plan, Bell Work, & PowerPoint.CHAPTER 1 A Review of Functions 84 University of Houston Department of Mathematics (b) 6 6 Up 6 Reflect in the -axis f x x g x x h x x y o o (c) Yes, parts (a) and (b) yield the same function. Example Problem 4: Start with the function f x x , and write the function which results from the given transformations.Precalculus composition of functions worksheet answers pdf Precalculus worksheet answers. Pre-Calculus 11- Course OutlineFile Size: 29 kbFile Type: pdfDownload File Date Assignment Due Date Sept 23 Get Course Outline Signed Sept 24 Sept 23 Workbook: P. 89-91 #1-8 Sept 24 Workbook: P. 92-94 #9-14 Sept 25 Workbook: P. 100-102 #3-5, 7-9 Sept 29 Worksheet: Simplifying Radicals QUIZ: Section 2.1-2. ... Functions Worksheet. Domain Range and Function Notation. 1. Find the domain a. f ... Algebra with Functions and Composition. 1. If f (x) = 4x2 + 3x +2 and g(x) ...Graphing quadratic inequalities. Factoring quadratic expressions. Solving quadratic equations w/ square roots. Solving quadratic equations by factoring. Completing the square. Solving equations by completing the square. Solving equations with the quadratic formula. The discriminant. Polynomial Functions.Topic : Composition of Functions - Worksheet 2 ANSWERS 1. 19 2. ... Topic : Composition of Functions - Worksheet 5 ANSWERS 1. 213 2. 369 3. 237 4. 82 5. 56 6.Definition of the derivative. Instantaneous rates of change. Power rule for differentiation. Motion along a line. Approximating area under a curve. Area under a curve by limit of sums. Indefinite integrals. Free Precalculus worksheets created with Infinite Precalculus. Printable in convenient PDF format. 4.Let## €# f(x)=2x−1and### g(x)=x2−4find# #####a. € (f g)(x)# #####b.(g f)(x)##### c. (f g)(2)### d.(g f)(2)#5.If € f(x)=x+5and# g(x)=x2−2xfind## This Unit Is Designed For A Level 1 Precalculus Class And. Function operations and composition worksheet. A function relates an input to an output. ... Web Function Composition Worksheet (Answer Key) Is A Math Worksheet Designed To Help Learners Activate Prior Knowledge, Understand The Lesson, And Practice. ... 42 composite …Chapter 2: Functions and Their Graphs. All assignments are due at the start of the next class period. The first assignments of this school year will be completed on paper: Current assignments are currently not available on Mathxl, the precalculus online homework program. For full credit, use separate paper: please write your full name, class ... Worksheets. Relations and Functions. Evaluations of Functions. The Horizontal Line Test. 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.Introduction to Functions; 1.1 Functions and Function Notation; 1.2 Domain and Range; 1.3 Rates of Change and Behavior of Graphs; 1.4 Composition of Functions; 1.5 …CLASS EXAMPLES: Composition of Functions - Perform the indicated operation. 19) h (a) = 2a + 1 g (a) = 4a - 2 Find h (g (2)) 20) g (x) = 3x - 4 f (x) = x2 - x Find (g f) (-1) 21) f (a) = 4a - 1 g (a) = 2a2 + 3 Find f (g (a)) 22) g (n) = 4n + 2 f (n) = n2 + 5n Find ... Worksheet by Kuta Software LLC-5-Answers to Function Evaluation, Operations, and Composition (ID: 1) …Worksheet by Kuta Software LLC 432 Composition of Functions Name_____ ©z Z2D0V1[8\ \KcultOaA OSno\fLtswMavrYev rLTLYC^.R X iARlclY KrKiSg\hDtYsJ hrfeVsueMrbvIemdr. ...Cool Living And Non Living Things Worksheet Pdf Answers 2023. Differentiate characteristics of living and nonliving things through words and pictures. ... Formulas and functions are used in worksheets to perform figurings and analyze data. Formulas can be used to perform basic arithmetic operations, while offices can be used …2.6 Combining Functions 109 Composition of Functions Another way to combine functions is used frequently and plays an important role in both precalculus and calculus. Definition: composition of functions Suppose f and g are functions. Thecomposition function, f 8 g, read "f of g," is the function whose value atx is given by ~f 8 g!~x! 5 f ...Chapter Outline. 1.1 Functions and Function Notation. 1.2 Domain and Range. 1.3 Rates of Change and Behavior of Graphs. 1.4 Composition of Functions. 1.5 Transformation of Functions. 1.6 Absolute Value Functions. 1.7 Inverse Functions. Toward the end of the twentieth century, the values of stocks of internet and technology companies rose ... Worksheet by Kuta Software LLC 432 Composition of Functions Name_____ ©z Z2D0V1[8\ \KcultOaA OSno\fLtswMavrYev rLTLYC^.R X iARlclY KrKiSg\hDtYsJ hrfeVsueMrbvIemdr. ...Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Extrema, Increase and Decrease Name_____ Date_____ Period____-1-Approximate the relative extrema of each function. 1) x y ... Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.com. Title: document1 Author: MikeComposition of Functions. When the output of one function is used as the input of another, we call the entire operation a composition of functions. For any input x and functions f and g, this action defines a composite function, which we write as f ∘ g such that. (f ∘ g)(x) = f(g(x))Definition of the derivative. Instantaneous rates of change. Power rule for differentiation. Motion along a line. Approximating area under a curve. Area under a curve by limit of sums. Indefinite integrals. Free Precalculus worksheets created with Infinite Precalculus. Printable in convenient PDF format.
C: Graph transformations of a basic function. Exercise 2.3e. C. ★ Begin by graphing the basic quadratic function f(x) = x2. State the transformations needed to apply to f to graph the function below. Then use transformations to graph the function. 27. g(x) = x2 + 1. 28. g(x) = x2 − 4. 29. g(x) = (x − 5)2.. Stihl weed eater carburetor diagram
Topic : Composition of Functions - Worksheet 2 ANSWERS 1. 19 2. ... Topic : Composition of Functions - Worksheet 5 ANSWERS 1. 213 2. 369 3. 237 4. 82 5. 56 6. Download Function Operations Worksheet with Solutions and more Mathematics Exercises in PDF only on Docsity! ©P 9260d162V QKcuqt3ag 1SZoafGtYweaPrSe7 BLKL7C4.t r bAOlKlj grUikguhStfsc mrYeosmeBrIvOecdl.Z i NMOaOdReL EwciStahZ XIunRfei5nZiete U 9Ahlagreeb6ra V 52v.1 Worksheet by Kuta …2.6 Combining Functions 109 Composition of Functions Another way to combine functions is used frequently and plays an important role in both precalculus and calculus. Definition: composition of functions Suppose f and g are functions. Thecomposition function, f 8 g, read “f of g,” is the function whose value atx is given by ~f 8 g!~x! 5 f ...The process of combining functions so that the output of one function becomes the input of another is known as a composition of functions. The resulting function is known as a composite function. We represent this combination by the following notation: (f ∘g)(x)= f (g(x)) ( f ∘ g) ( x) = f ( g ( x)) At times, evaluating a function in table form may be more useful than using equations. Here let us call the function P. P. The domain of the function is the type of pet and the range is a real number representing the number of hours the pet’s memory span lasts. We can evaluate the function P P at the input value of -2- Worksheet by Kuta Software LLC Find the exact value of each expression. 9) csc (cos ) 10) cos sec 11) csc sec 12) sin (sec ) 13) sec cot 14) tan (sec ) Identify the domain and range of each. Then sketch the graph. 15) y sin cot x x yWhen the output of one function is used as the input of another, we call the entire operation a composition of functions. We write f(g(x)), and read this as “ f of g of …SECTION 1.1 An Introduction to Functions MATH 1330 Precalculus 1 Chapter 1 A Review of Functions Section 1.1: An Introduction to Functions ... functions. Express answers in interval notation. (Hint: When finding the range, first solve for x.) 43. (a) 3 2 fx x (b) 5 2 x gx x 44. (a) 4 x 3 (b) 52 3 x gx xCreate a Function by Composition of Functions. Performing algebraic operations on functions combines them into a new function, but we can also create functions by composing functions. When we wanted to compute a heating cost from a day of the year, we created a new function that takes a day as input and yields a cost as output. be able to add, subtract, and multiply. The students will be able to compose functions and evaluate them, given their equations. The students will also be able to decompose a composite function. Materials: Hw #1-1 answers overhead; Do Now worksheet; pairwork; hw #1-2 Time Activity 10 min Homework Review Put up the answers to hw #1-1 on the ...(9) Construct three examples of functions using the infinite sets you presented in question (1). (10) What is the domain of a function? What is the domain of each of the six examples ofa. If the function is ODD, what other point is on the function? _____ b. If the function is EVEN, what other point is on the function? _____ 11. Use the graph to the right to answer the following questions. a. Identify all extrema. b. Identify all the intervals on which the function is increasing and decreasing. 12.Precalculus : Composition of Functions Study concepts, example questions & explanations for Precalculus. ... Possible Answers: Correct answer: Explanation:.
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