Question 18 Consider f : X →Y,with domain {c, g, 0, e, d, p, 2, U, M, s, n, v} and codomain Y = {69, 10, 11, 38, 07, 24, 43, 68, 78, 76, 03, 25}, as defined below using the set of expressions of the form f(a) b. It is currently a bijection. Which of the following sequences of operations would cause this function to lose its injectivity while still remaining a valid surjection? f(e) f(n) f(o) f(p) = 24 f(m) f(z) f(s) f(u) f(c) f(g) f(d) f(v) 38 = 03 11 78 = 43 = 76 = 68 69 10 = 07 = 25
Question 18 Consider f : X →Y,with domain {c, g, 0, e, d, p, 2, U, M, s, n, v} and codomain Y = {69, 10, 11, 38, 07, 24, 43, 68, 78, 76, 03, 25}, as defined below using the set of expressions of the form f(a) b. It is currently a bijection. Which of the following sequences of operations would cause this function to lose its injectivity while still remaining a valid surjection? f(e) f(n) f(o) f(p) = 24 f(m) f(z) f(s) f(u) f(c) f(g) f(d) f(v) 38 = 03 11 78 = 43 = 76 = 68 69 10 = 07 = 25
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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please send correct answer Q18
Transcribed Image Text:Question 18
Consider f : X →Y, with domain
{c, g, 0, e, d, p, z, U, m, s, n, v} and codomain
Y = {69, 10, 11, 38, 07, 24, 43, 68, 78, 76, 03, 25}, as defined
below using the set of expressions of the form f(a) = b. It is currently a bijection.
Which of the following sequences of operations would cause this function to lose its
injectivity while still remaining a valid surjection?
f(e) = 38
f(n) = 03
f(o)
f(p)
f(m)
f(z)
f(s)
f(u)
f(c)
f(g)
f(d)
f(v)
11
24
%3D
78
= 43
= 76
= 68
69
10
= 07
= 25
Transcribed Image Text:O none of these options
change the image of n to 24
remove 38 from the codomain
→ add j
to the domain
O change the image of Z to 07 → add 98 to the codomain
→ remove S
from the domain
add q to the domain change the image of m to 07 > change the
preimage of 76 to z
O remove g from the domain remove 24 from the codomain
> change
the image of 2z to 69
→ change
change the image of n to 78 → remove 11 from the codomain
the image of 0 to 03
add 36 to the codomain
+ change the preimage of 11 to u
→ change
the preimage of 76 to e
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