A = (a, b, c, d]d}X = [1, 2, 3, 4}Select the definition for f that is a well-defined function.1) f = ((a, 2), (b, 3), (d, 1))2) f = {(a, 2), (b, 3), (b, 3), (d, 1))3) f = {(a, 2), (b, 3), (c, 3), (d, 1))4) f = {(a, 2), (b, 3), (c, 3), (1, d)}

Let, A and X be two non empty sets. A function f: A -----> B is an assignment in which each…

Answered: A = (a, b, c, d] X= [1, 2, 3, 4} Select…

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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A function f: {1,2,3,4} is defined by f(1) = 6, ƒ(2) = 7, f(3) = 8, ƒ(4) = 6. Drag the answers into the right place for the following questions ƒ({3,4}) = ƒ¯¹({5,8}) = ƒ(ƒ˜¯¹({7,8})) = ƒ˜¹ (ƒ({1,3})) =| {4} {5,6,7,8} {1,3,4} {8} {7,8} {6,8} {3,4} {5,6} {5,6,7,8} {2,3} {3} {6} {1,3}
1. Let {1, 2, 3} and B = {3,6,9}. Which of the following are functions from A to B? If they are not functions, explain which rule is violated. (ii) The relation f = {(2,6), (1,3), (3,9)}
Determine whether the function f from {a, b, c, d} to {1, 2, 3, 4, 5} with f (a) = 4, f (b) = 5, f (c) = 1, and f (d) = 3 is one-to-one.
The graph shows the salary comparison of Miguel and Christian, who both work after school washing cars. Miguel's earnines are defined by the function fix), and Christian's earnings are defined by the function go), where x is the total number of hours worked. Salary Comparision 75 60 fx) -glx) 45 30 15 05 1 1.5 When will Miguel's earnings exceed those of Christian? O after 1 hour O after 1.5 hours O after 2 hours O after 2.5 hours https://student.masteryconnect.com/ Type here to search
C. State whether or not the following relations are functions. Also, give their domain and range. 1) S = {(1, 1), (2,1), (3,1)} 2) T = {(a, 5), (e, 5), (u, 6), (e, 6)} = {((1,2), 3), ((2,1), 4), ((1,3),4)} 3) R = 4) 0 = {(x,y) y = } = {(x,y) y = √4x²} 6) G = {(x, y) ly = |x + 1|} 5) N =
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A = (a, b, c, d] X= [1, 2, 3, 4} Select the definition for f that is a well-defined function. O 1) f = ((a, 2), (b, 3), (d, 1)) 2) f = {(a, 2), (b, 3), (b, 3), (d, 1)) 3) f = {(a, 2), (b, 3), (c, 3), (d, 1)) 4) f = {(a, 2), (b, 3), (c, 3), (1, d))