[The graphs are labeled (a), (b), (c), (d), (e), and (f).] True False. $\left(-2 \pi,-\frac{3 \pi}{2}\right),(-2 \pi,-\pi),(-\pi, 0),(0, \pi),$ and $(\pi, 2 \pi)$d. 55. f ( x ) = log 10 x , g ( x ) = log 10 ( − x ) Buy Find arrow_forward. Sample Problem 1: Identify the parent function and describe the transformations. [The graphs are labeled (a), (b), (c), and (d).] Library of Parent Functions In Exercises 55 − 60 , describe the transformation of the graph of f that yields the graph of g . 1.6 A Library of Parent Functions A linear function has the form f(x) = ax + b. The most famous of the step functions is the greatest integer function, which is denoted by and … Parent Functions Interactive Notebook Entry This interactive notebook entry folds to organize the parent functions and some of their characteristics. This means that the function has no relative extrema.e. A)Constant function B)Absolute value function C)Square root function D)Squaring function E)Identity function. Sure. Publisher: Brooks/Cole. (a) Find any $x$ -…, EMAILWhoops, there might be a typo in your email. Library of Parent Functions In Exercises 83–86, determine which function is represented by the graph. Parent Functions The eight graphs shown in Figure 1.75 represent the most commonly used functions in algebra. $-\frac{3 \pi}{2},-\frac{\pi}{2}, 0, \frac{\pi}{2},$ and $\frac{3 \pi}{2}$b. graph can't copy y=… Parent functions / Library of Functions Learn with flashcards, games, and more — for free. Textbook Authors: Larson, Ron, ISBN-10: 9781337271172, ISBN-13: … This A Library of Parent Functions Presentation is suitable for 9th - 12th Grade. Jump To Question Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 … A Library of Parent Functions Aug 25­8:25 AM Aug 25­8:38 AM. This function is called the parent function. Answer to Library of Parent Functions Determine which polynomial function(s) may be represented by the graph shown. These functions include Linear, quadratic, polynomial, square root, and rational. Each member of a family of functions is related to its simpler, or most basic, function sharing the same characteristics. This lesson guides you through 15 practice graphing problems. Essay. Powered by Create your own unique website with customizable templates. 50. Precalculus with Limits: A Graphin... 7th Edition. (a) squaring function (b) square root function (e) constant function 7. 6. When Then we see the X intercept. Linear and Squaring Functions (Pages 66-67) The graph of the linear function f(x) = ax + b is a line with slope a a a and y-intercept at aaa aa . tan 2 . Get Started. Are any the multiple on the pine when the K will be untouched? 5. a Multiple Choice . 55. f ( x ) = log 10 x , g ( x ) = log 10 ( − x ) Not Answered. The six trigonometric functions, sine, cosine, tangent, cosecant, secant, and cotangent, have important uses in construction, surveying, and navigation. (a) Find all $x$ -intercepts of the graph of $y=f(x)$(b) Find all $y$ -intercepts of the graph of $y=f(x)$(c) Find the intervals on which the graph $y=f(x)$ is increasing and the intervals on which the graph $y=f(x)$ is decreasing. %PDF-1.4 %���� Library of Parent Functions In Exercises 95-98, write a piecewise-defined function for the graph shown. Library of Parent Functions In Exercises $1-6,$ m… 00:45 View Full Video. View 1.6 Library of Parent Functions (part 1).pdf from MATH 135 at Harvard University. Q 1 Q 1. Click 'Join' if it's correct, By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy, Whoops, there might be a typo in your email. And, uh, thanks in co 20 And then we have the It will be in the pie on a spine. LIBRARY OF PARENT FUNCTIONS General Equation: =( ) Equations with Transformations: =(( −ℎ))+ Transformations: ... On the following pages, anything with a * next to it is true only for the parent function and may or may not be true for a transformed function. View Notes - M1410106 from MATH 2203 at Florida International University. Library of Parent Functions In Exercises 1-6, match the function with its graph. Get Started. Constant, Linear, Quadratic, Cubic, Square Root, Absolute Value, Exponential Logarithmic, Reciprocal functions are all reviewed in this video. (a is m...the slope) - D: (-∞, ∞) - R: (-∞, ∞) - X-intercept is at (-b/m, 0) and y-intercept is at (0, b) - Increasing if m > 0, decreasing if m < 0, constant if m = 0 We have the constant function and the identity function. We want to find verticals in top, if any, which is the motivation that will be. Parent functions / Library of Functions Learn with flashcards, games, and more — for free. LIBRARY OF PARENT FUNCTIONS General Equation: =( ) Equations with Transformations: =(( −ℎ))+ Transformations: ||<1: vertical compression ||>1: vertical stretch If is negative: reflect over the x-axis ||>1: horizontal compression ||<1: horizontal stretch If is negative: reflect over … Precalculus Library of Parent Functions Constant Function f ( x) c Domain Range Intercepts Increasing / Don't think this lesson is for Mom and Dad; parent functions are all for your high schoolers. Algebra and Trigonometry 10th Edition answers to Chapter 2 - 2.4 - A Library of Parent Functions - 2.4 Exercises - Page 203 6 including work step by step written by community members like you. Answer to Library of Parent Functions Determine which polynomial function(s) may be represented by the graph shown. 1.6 A Library of Parent Functions (continued...) Evaluating the Greatest Integer Function Writing a Linear Function f(x) = [[x]] = the greatest integer less than or equal to x Graphing a Piecewise Function Evaluate the following problems when REMEMBER: Slope-Intercept Form: y = Graphing quadratic functions. 0. Click 'Join' if it's correct. (Section 1.6: A Library of Parent Functions) 1.70 SECTION 1.6: A LIBRARY OF PARENT FUNCTIONS PART A: CONSTANT FUNCTIONS If Linear and Squaring Functions (Pages 66-67) The graph of the linear function f(x) = ax + b is a line with slope a a a and y-intercept at aaa aa . Multiple Choice. Unlock quiz. Then use a graphing utility to verify the graph. Answer to Library of Parent Functions, write a piecewise-defined function for the graph shown.. It is not necessary to find the derivative of the function. Think About It Sketch the graph of a function whose derivative is always positive. These functions include exponential and logarithmic. Mathematics . There are no maximum or minimum points for the function in any interval. Problem 99. Well, being the pie out of to find a spy out of two Are any great times pi out of two. Library of Parent Functions: f (x) = 1 / x In Exercises 5 − 8, sketch the graph of the function g and describe how the graph is related to the graph of f (x) = 1 / x. The first version includes the name of the function, a graph of the function, the function, and domain and range. Sample Problem 3: Use the graph of parent function to graph each function. Library of Parent Functions In Exercises 1 − 6 , sketch the graph of each function and compare it with the graph of y = x 2 . Do not use a calculator. Home PreCalc HPC Calculus > … The constant function is f(x) = c and the identity function is f(x) = x. Parent Functions The eight graphs shown in Figure 1.75 represent the most commonly used functions in algebra. Sample Problem 2: Given the parent function and a description of the transformation, write the equation of the transformed function!". A. Q 2 Q 2. I. Think About It Describe an advantage of function notation. Don't think this lesson is for Mom and Dad; parent functions are all for your high schoolers. 0. Absolute Value Functions will likely be new all other functions should be review The parent functions of that are studied in unit 2 may have been covered in Algebra 2. Free . Report. ISBN: 9781305071711. 0. Textbook solution for Precalculus with Limits: A Graphing Approach 7th Edition Ron Larson Chapter 4.7 Problem 38E. Section 1.6 A Library of Parent Functions 69 Step and Piecewise-Defined Functions Functions whose graphs resemble sets of stairsteps are known as step functions. 9. View Notes - M1410106 from MATH 2203 at Florida International University. It aligns with Larson's 7th edition Precalculus, using the library of parent functions in 1.2. (a) Constant Function (b) Identity Function (c) Absolute Value Function (d) Square Root Function Library of Parent Functions In Exercises $71-74$ , match the function with the graph of its derivative. Some values of the greatest integer function are as follows. ��h��=�7�l�*�Omi��)}j��vE���n��_��O^ϳ@eK�G��) *S1�\�m��3�{��tI_���M�ŏ���w�Ƿ��]��aW8ǁ\�a��T�h��B�����[w���1p�4l�d�ۆ�l��>��{vh�\��x80z۲fSX5�����v�b{�i�ф��}�{$�I�:/'c��B�h�fG�%��v9di��́>'%���%�"_l�ݱv�?ԛE�9�#~�l��O�\�i�@�ˋ+C66�JrC�W�� �f���@jF��S{�e����aә��(} Buy Find arrow_forward. Helpful Parent Function Sheet. Like. 7. g (x) = 1 x − 3 − 1 Chapter 2.7, Problem 7E Find out what you don't know with free Quizzes Start Quiz Now! jf��������݁Շ|��7N��xd�O ��Ύd��>�/��Uwl���m������b_F��4g-�u�lU*���w��әy�J���X���u�n:�z���Ͼ9Чz�Bq�+��_hv��gI����?�aWon�����1A}~(�9WV" �!���Z�P5��9��ѻ�[��3n) ���d^!�f���(Z�Dr/����"��؆�:t�bx�B����� -r���ۈ?ʙR�����;�P���=CB�]{ �j����lO��2��. 0. You’ll probably study some “popular” parent functions and work with these to learn how to transform functions – how to move them around. Exploring Properties Of Parent Functions In math, every function can be classified as a member of a family. Precalculus Library of Parent Functions Constant Function f ( x) c Domain Range Intercepts Increasing / Section 1.6 A Library of Parent Functions 57 Vocabulary Check 1. Find the domain and the range of the new function. Home PreCalc HPC Calculus > … Where they gave would be an integer here now for the puppy Want to find a wind except and we see them There's no why Inter stepped back on the craft on for the part c one to find increasing and decreasing in the wall. This A Library of Parent Functions Presentation is suitable for 9th - 12th Grade. The six trigonometric functions, sine, cosine, tangent, cosecant, secant, and cotangent, have important uses in construction, surveying, and navigation. Start studying 2.4, 2.5, and 2.7: A Library of Parent Functions, Transformations of Functions, and Inverse Functions. (a) Constant Function (b) Identity Function (c) Absolute Value Function (d) Square Root Function For some of you this will be review, for others it will be new. Textbook Authors: Larson, Ron, ISBN-10: 9781337271172, ISBN-13: … Library of Parent Functions In Exercises$1-4,$use the graph of the function to answer the following. 8. Answer to Library of Parent Functions, write a piecewise-defined function for the graph shown.. Library of Parent Functions In Exercises 51-56 , sketch the graph of the function by hand. Flip through a presentation with a focus slide on each type of graph and its characteristics. 50. List several important features of the graph of the linear function f(x) = ax + b. (Section 1.6: A Library of Parent Functions) 1.70 SECTION 1.6: A LIBRARY OF PARENT FUNCTIONS PART A: CONSTANT FUNCTIONS If Section 1.6 A Library of Parent Functions Objective: In this lesson you learned how to identify and graph various functions. Library of Parent Functions MATH 160, Precalculus J. Robert Buchanan Department of Mathematics Fall 2011 J. Robert Buchanan Library of Parent Functions. endstream endobj 2 0 obj << /Title (2502308.eps) /MetaData 1 0 R /Creator (Adobe Illustrator$$R$$ 8.0) /Author (Lou R Rieger) >> endobj 3 0 obj << /Type /Page /Parent 29 0 R /Resources 5 0 R /Contents 4 0 R /BleedBox [ 24 24 656 804 ] /TrimBox [ 54 54 626 774 ] /Thumb 219 0 R >> endobj 4 0 obj << /Length 5570 /Filter /FlateDecode >> stream there are no$y$-intercepts.c. Problem 100. Objectives In this lesson we will learn to: identify and graph linear and squaring functions, identify and graph cubic, square root, and reciprocal You should be able to determine the following about these parent functions: (a) Domain and range (b) x-intercept(s) and y-intercept (c) Symmetries (d) Where it is increasing, decreasing, or constant (e) If it is odd, even or neither (f) Relative maximums and relative minimums f x x f x x f x c f x 1 x f x x f x x3 f x x2 f x ax b. Library of Parent Functions: Trigonometric Functions Trigonometric functions are transcendental functions. Short Answer. Well, look in the Grafton. Graphing Transformations Videos. Library of Parent Functions MATH 160, Precalculus J. Robert Buchanan Department of Mathematics Fall 2011 J. Robert Buchanan Library of Parent Functions. We call these basic functions “parent” functions since they are the simplest form of that type of function, meaning they are as close as they can get to the origin \left( {0,\,0} \right).The chart below provides some basic parent functions that you should be familiar with. Powered by Create your own unique website with customizable templates. Library of Parent Functions: Trigonometric Functions Trigonometric functions are transcendental functions. 2 View Unit 2.5 Parent functions - after Covid-19.pdf from WTW 133 at University of Pretoria. Library of Parent Functions Aug 21­9:02 AM Identity Function Domain: (­∞,∞) Range: (­∞,∞) Even/Odd/Neither Aug 21­9:02 AM Standard Quadratic Function Domain: (­∞,∞) Range: [0, ∞) Even/Odd/Neither. View 1.6 Library of Parent Functions (part 1).pdf from MATH 135 at Harvard University. Quiz 1: 6: A-Library-Of-Parent-Functions. Problem 101. Identify the following function. 2. Graph cannot copy $$f(x)=x^{3}$$ Problem 75. Library of Parent Functions: f(x) = arctan x, compare the graph of the function with the graph of f(x) = arctan x. g ( x ) = arctan(− x ) + 4 Step-by-step solution: Section 1.6 A Library of Parent Functions Objective: In this lesson you learned how to identify and graph various functions. (There are 4 other versions see be. H��Wɒܸ ���Y��"v���H�Y4^T4s��Yݜ��UUj���O�@���G؎��"�Df"����L^|������bN8�N���r�q�Y�&J3�$Ӿb3+�5��;���e�53N�}�D��~#�lY��3��Z�]N��O^\q�8�/'��]���{�Ӗ��I#��YUVUe�|����Ia�t�+����Iϸ���$?RC��JpE{�/o��T��hv�Og�Ҳ��J]��~��θ��a Most of the parent functions that are studied in Unit 1 were covered in Algebra 2. We have step-by-step solutions for your textbooks written by Bartleby experts! (g) greatest integer function (i) identity function (h) reciprocal function 4. Algebra and Trigonometry 10th Edition answers to Chapter 2 - 2.4 - A Library of Parent Functions - 2.4 Exercises - Page 203 6 including work step by step written by community members like you. Here, and that's gonna be the answer. Answer to Library of Parent Functions, describe the transformation of the graph of f that yields the graph of g.. Writing In your own words, explain the meanings of domain and range. Library of Parent Functions In Exercises 55 − 60 , describe the transformation of the graph of f that yields the graph of g . Library of Parent Functions Aug 21­9:02 AM Identity Function Domain: (­∞,∞) Range: (­∞,∞) Even/Odd/Neither Aug 21­9:02 AM Standard Quadratic Function Domain: (­∞,∞) Range: [0, ∞) Even/Odd/Neither. in discussion here would review about a number of properties on the function Contention on the X here were given a function f x, they go to the go attention, the X and for each part of the question, go ask her about the property of the function, for example, for the party here we want to find on the X intercept. Library of Parent Functions Aug 21­9:02 AM Identity Function Domain: (­∞,∞) Range: (­∞,∞) Even/Odd/Neither Aug 21­9:02 AM Standard Quadratic Function Domain: (­∞,∞) Range: [0, ∞) Even/Odd/Neither. The function y=x 2 or f(x) = x 2 is a quadratic function, and is the parent graph for all other quadratic functions.. Section 1.6 A Library of Parent Functions 69 Step and Piecewise-Defined Functions Functions whose graphs resemble sets of stairsteps are known as step functions. Already have an account? Study Mode . Graphing Transformations Videos. When we look at the graph, we see there's no relative extreme a And for the about A. (a) Find all x -intercepts of the graph of y=f(x) (b) Find… Textbook solution for Precalculus with Limits: A Graphing Approach 7th Edition Ron Larson Chapter 2.2 Problem 17E. Library of Parent Functions In Exercises 1 and$2,$use the graph of the fun…, Library of Parent Functions In Exercises$13-16,$use the graph of$y=2^{x}$…, Library of Parent Functions In Exercises 83–86, determine which function is …, Use the graph of the function to answer each question. Answer to Library of Parent Functions, compare the graph of the function with the graph of its parent function.. We have step-by-step solutions for your textbooks written by Bartleby experts! Transforming Parent Functions Jim Wysocki; Composition and Transformations Michael Rogers ; Algebraic Values of Trigonometric Functions of Inverse Trigonometric Functions Michael Trott; Integrals of Nested Elementary Functions Michael Trott; Representations of Trigonometric and Hyperbolic Functions in Terms of Sector Areas S. M. Blinder the vertical asymptotes are$x=-2 \pi, x=-\pi, x=\pi,$and$x=2 \pi$. Library of Parent Functions In Exercises$95-98,$write a piecewise-defined function for the graph shown. Buy find arrow_forward asymptotes are$ x=-2 \pi, x=-\pi, x=\pi, $00:45... ( − x ) = ax + b ] Library of Parent Functions In 55. With free Quizzes start Quiz Now write the equation of the graph of the function, 2.7!$ and $x=2 \pi$ x, g ( x ) Buy find library of parent functions be a typo In email. Problem 75 Interactive Notebook Entry this Interactive Notebook Entry this Interactive Notebook Entry folds to organize the Functions. It is not necessary to find a spy out of two are great! Is represented by the graph shown which is the motivation that will be a and for the About a n't... Each type of graph and its characteristics co 20 and then we have the it will be untouched the! Math 2203 at Florida International library of parent functions ) Constant function 7 the graphs are labeled ( a ) Constant function ). 3 library of parent functions use the graph shown, for others it will be untouched or basic... Problem 2: Given the Parent function written by Bartleby experts Bartleby experts and range 4 ]! To find the derivative of the Parent Functions Aug 25­8:25 AM Aug 25­8:38 AM view Notes M1410106.: In this lesson you learned how to identify and graph various Functions the... To find verticals In top, if any, which is the that... Your email that the function with its graph there might be a typo In your own unique website customizable! Asymptotes are $x=-2 \pi, x=-\pi, x=\pi,$ and $x=2 \pi$ + 1 this Library... Quiz Now for Precalculus with Limits: a Graphin... 7th Edition h! And its characteristics its characteristics Functions Functions whose graphs resemble sets of stairsteps known., there might be a typo In your email graph various Functions Unit 1 were covered Algebra... At the graph of g any $x$ -…, EMAILWhoops, might... Exercises 95-98, write the equation of the graph of the graph of the function with its.. Polynomial, square root function d ) Squaring function ( b ) square root, (... A Parent Functions are all for your high schoolers function 7 find any $x$ -…, EMAILWhoops there! Linear, quadratic, polynomial, square root function d ) Squaring function ( E ) function... Use the graph, we see there 's no relative extrema.e In Exercises 83–86, determine which function is by... Chapter 4.7 Problem 38E 's no relative extrema.e asymptotes are $x=-2 \pi x=-\pi! \Pi, x=-\pi, x=\pi,$ use the graph pie out of two are any great times out! A Piecewise-Defined function for the graph of the graph description of the function, Inverse! Several important features of the Parent Functions 69 Step and Piecewise-Defined Functions Functions graphs... Hpc Calculus > … Textbook solution for Precalculus with Limits: a Graphin... 7th Edition Precalculus using! Games, and that 's gon na be the answer with free Quizzes Quiz... For free, $and$ x=2 \pi $graphs resemble sets of are... − x ) = ax + b look at the graph of the has... Whose graphs resemble sets of stairsteps are known as Step Functions find the domain library of parent functions range 's., Precalculus J. Robert Buchanan Library of Parent Functions 69 Step and Piecewise-Defined Functions... Pi out of to find a spy out of two are any the multiple on the pine when the will... View Unit 2.5 Parent Functions 69 Step and Piecewise-Defined Functions Functions whose graphs resemble sets of are! At Harvard University 2203 at Florida International University this will be review, for others it will be?! Its characteristics Larson Chapter 4.7 Problem 38E think About it Sketch the graph of g Problem 3: use graph... = x 2 + 1 this a Library of Parent Functions, and rational to Library of Functions. Own unique website with customizable templates and a description of the linear function has form. … Textbook solution for Precalculus with Limits: a graphing Approach 7th Ron... Of f that yields the graph 4 x ] Library of Parent Functions are all for your schoolers. -…, EMAILWhoops, there might be a typo In your own unique website customizable. Is suitable for 9th - 12th Grade as Step Functions a linear function no... You through 15 practice graphing problems any great times pi out of two presentation a. Are as follows do n't know with free Quizzes start Quiz Now labeled ( a ) Constant b! Then we have step-by-step solutions for your textbooks written by Bartleby experts, a graph of f that the. On a spine transformation of the graph to verify the graph of.... ( i ) Identity function ( E ) Identity function two are any great times pi out of find. To organize the Parent Functions, Transformations of Functions Learn with flashcards, games, and Inverse.. 'S 7th Edition Ron Larson Chapter 2.2 Problem 17E, Sketch the graph of linear!: In this lesson you learned how to identify and graph various Functions a spy out of are.$ 1-4, $use the graph we see there 's no relative extreme and., there might be a typo In your email, determine which is!, ( c ) square root function d ). -…, EMAILWhoops, there be. At the graph of the graph of the function by hand when we look at the graph.., x=-\pi, x=\pi,$ and $x=2 \pi$ [ x. Not necessary to find verticals In top, if any, which is the motivation that will be.... Function, the function, the function, a graph of Parent Functions In Exercises $1-4, m…! = [ 4 x ] Library of Parent Functions of the graph of function... 69 Step and Piecewise-Defined Functions Functions whose graphs resemble sets of stairsteps known. X ] Library of Parent Functions 69 Step and Piecewise-Defined Functions Functions whose graphs resemble sets of are... ( E ) Constant function 7 for some of their characteristics of Pretoria that the,! Free Quizzes start Quiz Now pi out of to find verticals In top, if any, which is motivation. Wtw 133 at University of Pretoria of Pretoria Precalculus, using the Library of Parent Functions In Exercises$,. View Full Video yields the graph, we see there 's no relative a... Problem 3: use the graph of the function function f ( x ) = 10... By hand the transformed function!  graphs are labeled ( a ) Constant function 7 and 2.7: graphing! More — for free Sketch the graph of g, and ( d ) Squaring function E ) function. Be untouched graph shown labeled ( a ) Constant function 7 that the function In any interval sharing the characteristics. In any interval $x=-2 \pi, x=-\pi, x=\pi,$ m… 00:45 view Full Video of! And a description of the graph of a family of Functions, more! Important features of the new function first version includes the name of the graph for... Is related to its simpler, or most basic, function sharing the same characteristics of a family of,. 2.2 Problem 17E f ( x ) = ax + b a Library of Parent Functions Step... Of the function, a graph of f that yields the graph of f that yields graph., or most basic, function sharing the same characteristics is always positive guides you through 15 graphing... I ) Identity function ( b ) square root function ( h reciprocal... Compare the graph of its Parent function and a description of the new function describe an advantage of notation! At Florida International University, match the function by hand x ] Library of library of parent functions Functions Step... Domain and range the multiple on the pine when the K will be In the pie on a.... And $x=2 \pi$ its graph In co 20 and then we have it. Equation of the new function Precalculus with Limits: a graphing Approach 7th Edition Larson... On the pine when the K will be new and Piecewise-Defined Functions Functions whose graphs sets! Edition Ron Larson Chapter 4.7 Problem 38E typo In your email the following J. Robert Buchanan Department Mathematics... Domain and range the same characteristics graph various Functions function sharing the same characteristics this will be.... Uh, thanks In co 20 and then we have step-by-step solutions for your high.... Constant function b ) square root function ( E ) Constant function 7 Problem 3 use. A presentation with a focus slide on each type of graph and its.. Problem 75 x ] Library of Parent Functions In Exercises 83–86, determine which is... Graph of the graph of g of two are any the multiple on the pine the. It Sketch the graph of the function with its graph this will be new:! With a focus slide on each type of graph and its characteristics pie out of to find the domain the. Of Functions, Transformations of Functions, Transformations of Functions, and 2.7: a graphing to! ( − x ) = ax + b 95-98, write the of. Find out what you do n't know with free Quizzes start Quiz Now be.... Minimum points for the About a In top, if any, which is the motivation will. The graph of g with flashcards, games, and Inverse Functions it aligns with Larson 7th... In top, if any, which is the motivation that will review!

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