Determine whether cach of these functions from Z to Z is one-to-one. a) f(n)=n- I c) f(n)=n b) f(n) = n² + 1 d) f(n) = [n /2] 71 Whieh
Determine whether cach of these functions from Z to Z is one-to-one. a) f(n)=n- I c) f(n)=n b) f(n) = n² + 1 d) f(n) = [n /2] 71 Whieh
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
#12
![d) -
e) [31
h) -11
10. Determine whether cach of these functions from
(a, b.c, d) to itself is one-to-one.
a) f(a) b, f(b)=a, f(c) = c, f (d) = d
b) f(a)b, f(b)=b. f(c) = d, f(d) = c
e) f(a) d, f(b)=b, f(c) = c, f(d) = d
7.
11. Which functions in Excrcise 10 are onto?
12. Determine whether cach of these functions from Z to Z
is one-to-one.
a) f(n)=n
c) f(n) =
b) f(n) = n2 + 1
d) f(n)= [n/21
13. Which functions in Exercise 12 are onto?
14. Determine whether Z × Z
a) f(m, n) = 2m -n.
b) f(m, n):
c) f(m, n) =m +n + 1.
d) f(m, n) = m- (2
e) f(m, n) = m² – 4.
15. Determine whether the function f: Z x Z Z is onto
Z is onto if
wwww.
%3D
if
25
a) f(m, n) =m+n.
b) f(m, n) = m2 +n2.
c) f(m, n) = m.
d) f(m, n)= In.
e) f(m, n) m-n.
16. Consider these functions from the set of students in a
discrete mathematics class. Under what conditions is the
function one-to-one if it assigns to a student his or her
a) mobile phone numher
%3D
26.
27. a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b11db84-233f-49d3-87bd-f59d69831d4e%2F718b56fa-2b67-488f-933d-d22f0bf0b130%2Fvscnbgk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d) -
e) [31
h) -11
10. Determine whether cach of these functions from
(a, b.c, d) to itself is one-to-one.
a) f(a) b, f(b)=a, f(c) = c, f (d) = d
b) f(a)b, f(b)=b. f(c) = d, f(d) = c
e) f(a) d, f(b)=b, f(c) = c, f(d) = d
7.
11. Which functions in Excrcise 10 are onto?
12. Determine whether cach of these functions from Z to Z
is one-to-one.
a) f(n)=n
c) f(n) =
b) f(n) = n2 + 1
d) f(n)= [n/21
13. Which functions in Exercise 12 are onto?
14. Determine whether Z × Z
a) f(m, n) = 2m -n.
b) f(m, n):
c) f(m, n) =m +n + 1.
d) f(m, n) = m- (2
e) f(m, n) = m² – 4.
15. Determine whether the function f: Z x Z Z is onto
Z is onto if
wwww.
%3D
if
25
a) f(m, n) =m+n.
b) f(m, n) = m2 +n2.
c) f(m, n) = m.
d) f(m, n)= In.
e) f(m, n) m-n.
16. Consider these functions from the set of students in a
discrete mathematics class. Under what conditions is the
function one-to-one if it assigns to a student his or her
a) mobile phone numher
%3D
26.
27. a
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Which functions in exercise 12 are onto? Please explain in depth.
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