Consider f : X Y, with domain X = {l,a, z,0, 8, m, c, e, g, d, u, v} and codomain Y = {44,35,67, 45, 74, 31, 83, 36, 25, 96, 16, 52}, as defined below using the set of expressions of the form f(a) = b. Which of the following statements is true? f(m) = 67 f(a) = 36 f(d) f(u) = 45 f(c) = 25 f(o) = 31 f(2) = 16 f(s) = 44 f(v) f(g) f(e) f(1) = 83 = 35 = 74 = 52 = 96

Computer Networking: A Top-Down Approach (7th Edition)
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Consider f : X →Y, with domain X = {l, a, z, 0, 8, m, c, e, g, d, u, v} and codomain Y = {44,35, 67, 45, 74, 31,83, 36, 25, 96, 16, 52}, as defined below using the set of expressions
of the form f(a) = b. Which of the following statements is true?
f (m)
f(a)
f(d) = 83
f (u)
f(c)
f(o) = 31
f(z)
f(s)
f (v)
f (g)
f(e)
f(1)
= 67
= 36
= 45
= 25
= 16
= 44
35
= 74
= 52
= 96
Select one:
O f(x) is both an injection and a surjection
O f(r) is not actually a function
O f(x) is an injection but not a surjection
none of these options
f(x) is a surjection but not an injection
O f(x) is neither an injection nor a surjection
Transcribed Image Text:Consider f : X →Y, with domain X = {l, a, z, 0, 8, m, c, e, g, d, u, v} and codomain Y = {44,35, 67, 45, 74, 31,83, 36, 25, 96, 16, 52}, as defined below using the set of expressions of the form f(a) = b. Which of the following statements is true? f (m) f(a) f(d) = 83 f (u) f(c) f(o) = 31 f(z) f(s) f (v) f (g) f(e) f(1) = 67 = 36 = 45 = 25 = 16 = 44 35 = 74 = 52 = 96 Select one: O f(x) is both an injection and a surjection O f(r) is not actually a function O f(x) is an injection but not a surjection none of these options f(x) is a surjection but not an injection O f(x) is neither an injection nor a surjection
Consider f : X →Y, with domain X = {g,c, b, v, h, r, u, s, e, a, n, k} and codomain Y = {54, 73, 92, 74, 42, 61, 30, 14, 41, 27, 71, 45}, as defined below using the set of expressions
of the form f(a) = b. Which of the following statements is true?
f (b) = 71
f(k)
f(s)
f(v)
f(c)
f (g)
f(u)
f (h) = 92
f(e)
f (r)
f (n)
f (a)
= 27
= 41
= 74
42
= 30
= 30
45
= 61
= 73
= 14
Select one:
O f(x) is neither an injection nor a surjection
O f(x) is a surjection but not an injection
O f(x) is an injection but not a surjection
O f(x) is not actually a function
O none of these options
O f(x) is both an injection and a surjection
Transcribed Image Text:Consider f : X →Y, with domain X = {g,c, b, v, h, r, u, s, e, a, n, k} and codomain Y = {54, 73, 92, 74, 42, 61, 30, 14, 41, 27, 71, 45}, as defined below using the set of expressions of the form f(a) = b. Which of the following statements is true? f (b) = 71 f(k) f(s) f(v) f(c) f (g) f(u) f (h) = 92 f(e) f (r) f (n) f (a) = 27 = 41 = 74 42 = 30 = 30 45 = 61 = 73 = 14 Select one: O f(x) is neither an injection nor a surjection O f(x) is a surjection but not an injection O f(x) is an injection but not a surjection O f(x) is not actually a function O none of these options O f(x) is both an injection and a surjection
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