nf: N→R by f(x) = X x+2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Recall that N = the set of natural numbers = {0, 1, 2, 3, ...) and R is the set of real numbers.
Define a function f:N → R by f(x) =
X
x+2
a) Is fone-to-one? Answer yes or no and explain (in terms of this specific function formula).
b) is fonto? Answer yes or no and explain (in terms of this specific function formula).
7
c) Is y = in the Range of f? Answer yes or no and explain why.
8
Transcribed Image Text:Recall that N = the set of natural numbers = {0, 1, 2, 3, ...) and R is the set of real numbers. Define a function f:N → R by f(x) = X x+2 a) Is fone-to-one? Answer yes or no and explain (in terms of this specific function formula). b) is fonto? Answer yes or no and explain (in terms of this specific function formula). 7 c) Is y = in the Range of f? Answer yes or no and explain why. 8
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