3. Consider the relation represented by the equation y = v4 - x², where x and y are elements of the setof Real numbers.-2-12V32Ta. Is the mapping a function?b. If e S, is the mapping a function?c. Is the mapping a function if 0 e S?

Answered: Image /qna-images/answer/e11125d3-86c0-4460-a5e9-d1c928e1a9ed.jpg

Answered: 3. Consider the relation represented by…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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For the table of data to the right, complete the following. x 39 7 9 3 (a) Express the data as a relation S. (b) Find the domain and range of S. y 9 8 8 9 9 (a) S = {O (Type ordered pairs. Type each ordered pair only once. Use a comma to separate answers as needed.) (b) The domain of S is D= (Use a comma to separate answers as needed.) The range of S is R = {). (Use a comma to separate answers as needed.)
What is the domain of the relation shown below? y O A. {yl - 8sy < 5} В. (Уу %3D -8, -4, 1, 2, 5} c. {x[x = -7, -3, 0, 4, 7} O D. {x| - 7sxs7}
Find the domain and range of the relation. Average Monthly Temperature January-June: Hilo, Hawaii Month Jan. Feb. Mar. Apr. May June Temperature 64 64 64 66 67 68 O A. domain: {64, 66, 67, 68}; range: {Jan., Feb., Mar., Apr., May, June} domain: {Jan., Feb., Mar., Apr., May, June}; range: {64, 66, 67, 68} B. C. domain: {64, 64, 64, 66, 67, 68}; range: {Jan., Feb., Mar., Apr., May, June } D. domain: {Jan., Feb., Mar., Apr., May, June}; range: {64, 68}
1. Which statement BEST describes the attributes of the graph of the function y = x- &r 20? A. The function has zeros at (10, 0), and (-2, 0), and has a vertex at (4, –36). B. The function has zeros at (-10, 0), and (-2, 0), and has a vertex at (-4,-36). C. The function has zeros at (10, 0), and (-2, 0), and has a vertex at (-4, -36). D. The function has zeros at (-10, 0), and (2, 0), and has a vertex at (4, -36). 2. Sy =x²-6x+8 ? x-y=-2 What are the solutions of the system of equations A. (5, 3) and (2,0) B. (6, 8) and (1, 3) C. (-6, -4) and (-1, 1) D. (-5, -7) and (-2, -4)
What I Know Before you proceed with this module, let's assess what you have already know about the lesson. Choose the letter of the best answer. Write the chosen letter on a separate sheet of рaper. 1. What do you call a relation where each element in the domain is related to only one value in the range by some rules? c. Domain d. Independent a. Function b. Range 2. Which of the following relations is/are function/s? a. x {(1,2), (3,4), (1,7), (5,1)} b. g {(3,2), (2,1), (8,2), (5,7)} c. h (4,1), (2,3), (2, 6), (7, 2)} d. y {(2,9), (3,4), (9,2), (6,7)}
Fill in the blanks outside the table showing the changes in the x- and y-values. Then, answer the questions. 1) a. Is it a linear function? b. Why/Why not? -3 1. -2 -1 3 4 1 5 2) a. Is it a linear function? b. Why/Why not? -5 2 1. -2 4 -1 6 1. 2 8 1. 10 3) -10 a. Is it a linear function? 1. -5 b. Why/Why not? 4 2 5 1. 10 -3 4) y a. Is it a linear function? b. Why/Why not? -1 -9 ]. -4 1. 1 1. 3 7 11 1. 11 15

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3. Consider the relation represented by the equation y = v4 - x², where x and y are elements of the set of Real numbers. -1 1 V3 S T a. Is the mapping a function? b. If eS, is the mapping a function? c. Is the mapping a function if 0 € S? 2.