Question 17 Consider f : X →Y, with domain X = {l, z, h, d, n, p, u, e, v, j, s,t} and codomain Y {66, 15, 01, 99, 73, 27, 82, 97, 07, 67, 23, 76}, 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 surjectivity while still remaining a valid injection? f(t) f(v) f(j) f(d) = 99 f(z) f(e) f(1) f(h) = 01 f(u) = 82 f(s) f (n) f(p) 76 07 = 67 = 15 = 97 = 66 23 73 27
Question 17 Consider f : X →Y, with domain X = {l, z, h, d, n, p, u, e, v, j, s,t} and codomain Y {66, 15, 01, 99, 73, 27, 82, 97, 07, 67, 23, 76}, 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 surjectivity while still remaining a valid injection? f(t) f(v) f(j) f(d) = 99 f(z) f(e) f(1) f(h) = 01 f(u) = 82 f(s) f (n) f(p) 76 07 = 67 = 15 = 97 = 66 23 73 27
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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Transcribed Image Text:Question 17
Consider f: X →Y, with domain
X = {l, z, h, d, n, p, u, e, v, j, s,t} and codomain
Y
{66, 15, 01, 99, 73, 27, 82, 97, 07, 67, 23, 76}, 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
surjectivity while still remaining a valid injection?
f(t)
f(v)
f(j)
f(d) = 99
f(2)
f(e)
f(1)
f(h) = 01
f(u) = 82
f(s)
f (n)
f(p)
76
07
= 67
= 15
= 97
= 66
23
73
27
Transcribed Image Text:O change the preimage of 99 to p add 00 to the codomain remove p
from the domain
O change the image of p to 99 remove 15 from the codomain
n from the domain
remove
none of these options
change the image of j to 07- change the preimage of 66 to e add
20 to the codomain
O remove 73 from the codomain
→ add 91 to the codomain
> remove n
from the domain
O remove 67 from the codomain add 00 to the codomain
remove N
from the domain
O remove V from the domain
> change the preimage of 15 to e > add 51
to the codomain
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