Exercise 2.12. Determine whether or not the given functions f:Z Z are one-to-one or onto (or neither or both). If they are one-to-one or onto, prove it. If they are not, explain why not. (A) f(r) = 2x + 3 (B) f(x) = |x| – 2 (C) f(z) = %3D (D) f(z) = r³ +1
Exercise 2.12. Determine whether or not the given functions f:Z Z are one-to-one or onto (or neither or both). If they are one-to-one or onto, prove it. If they are not, explain why not. (A) f(r) = 2x + 3 (B) f(x) = |x| – 2 (C) f(z) = %3D (D) f(z) = r³ +1
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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![Exercise 2.12. Determine whether or not the given functions f:Z→Z are one-to-one or
onto (or neither or both). If they are one-to-one or onto, prove it. If they are not, explain
why not.
(A) f(r) = 2x +3
కొకంగ పరిని
(B) f(¤) = |x| – 2
(C) f(z) =
(D) f(x) = r³+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc89a95b2-246d-47a4-b49c-326d31328d79%2F64787142-fedd-4cca-b58a-88293fc0a84b%2F6gw0cy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 2.12. Determine whether or not the given functions f:Z→Z are one-to-one or
onto (or neither or both). If they are one-to-one or onto, prove it. If they are not, explain
why not.
(A) f(r) = 2x +3
కొకంగ పరిని
(B) f(¤) = |x| – 2
(C) f(z) =
(D) f(x) = r³+1
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