Answered: Determine if the following relations…

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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Which is the inverse of the relation {(-2,5), (-1,3), (0,-1), (1,-3), (2,-5), (3,-7)}? O {(5.-2). (3.-1), (-1,0). (-3,1). (-5.2). (-7,3)} O {3.-7). (2.-5). (1.-3). (0.-1). (-1,3). (-2,5)} O {(3,3), (-1,-1), (0,0), (1,1), (2,2), (3,3)} O {(-2,5). (-1,3), (0.-1), (1,-3), (2,-5). (3,-7)}
Pls help ASAP on both pls
Which of the following set is not a function? a. D = {(8,2), (-1,5), (-5,2), (5,0)} b. B = {(3,2), (1,5), (-4,2), (5,0)} C. Z = {(-3,2), (1,5), (-3,2), (1,0)} d. A = {(3,2), (7,4), (-7,2), (5,0)}
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2
2. Does this relation represent a function? {(3,-5), (1, -6), (3, -7), (8, -3)} Yes No
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}
1. Determine if the set or relation forms a function. (a){(-2, 1), (2, 2), (-1, 2), (1, 2), (0, 2), (4, 2)} (b){(1, 2), (–3, 10), (0, 0), (4, 12), (–2, 0)}. (c){(-1, 1), (–2, 4), (10, 8), (-1, 0), (4, 20), (3, 5)}
C. Instruction: Identify which of the following is a Function or a mere Relation. Identify also if what type of relation are the following. 1. (9,0); (3,1); (4,2) 2. (0,1); (2,1); (4,1) 3. (6,1); (2,6): (6,6) 5. C VA 6. y=x²+2x+1 7. y² = 4x-2 8. y²=x²-x²-2x-1 9. x²-2x+1=y\ 10. Outpe B
Determine whether each of the following is a function or a relation. a. {(-1,8),(0,15), (1,-4), (2,0)} b. {(-5,2), (5,2), (0,-3), (3,-8)} c. {(-2,7), (6,2), (-2-3). (0,9)} d. {(7,2),(4,-6), (2,-2).(4,-9)} е. {(2,3), (2,4), (2,5), (2,6)} f. {(1-4), (2,-4), (3,-4), (3,-4)} Answer: Function Answer: Function Answer: Relation Answer: Function Answer: Relation Answer: Relation
Decide whether the relation defines a function. {(-8, 2), (-8, 8), (1, -9), (6, 3), (7,5)} Not a function Function
Find the domain and range of the following relation. Also determine whether the relation is a function. {(1,3),(1,5).(1,7).(1,8)} What is the domain of the given relation? { } (Use a comma to separate answers as needed.)

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Determine if the following relations describe a function. Justify your answer. a.) R₁ = {(-2,0), (-2,1), (1,1), (5,2), (7,5)} b.) R₂ = {(x,y) y=x+1