Let ƒ : Z → Z × Z be defined as f(n) = (2n, n + 3). Select which statements are true. a) for any in the domain, the second element of the output pair has to be odd. b) if the input n is even then the second element of the output pair is odd. Oc) f(-1) = (-4,1) d) ƒ(2) = (3,5) e) for any n in the domain, the first element of the output pair has to be even f) if the input n is even then the first element of the output pair is even.
Let ƒ : Z → Z × Z be defined as f(n) = (2n, n + 3). Select which statements are true. a) for any in the domain, the second element of the output pair has to be odd. b) if the input n is even then the second element of the output pair is odd. Oc) f(-1) = (-4,1) d) ƒ(2) = (3,5) e) for any n in the domain, the first element of the output pair has to be even f) if the input n is even then the first element of the output pair is even.
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:Let ƒ : Z → Z × Z be defined as f(n) = (2n, n + 3).
Select which statements are true.
a) for any in the domain, the second element of the output pair has to be
odd.
b) if the input n is even then the second element of the output pair is odd.
Oc) f(-1) = (-4,1)
d) ƒ(2) = (3,5)
e) for any n in the domain, the first element of the output pair has to be even
f) if the input n is even then the first element of the output pair is even.
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