(a) Let f: R→ Z be the function f(x) = [2x - 11. (b) f: NZ where f(n) = FIN n+1 2 (c) f: Z→ Z where f(x) = 2x + 1 if n is even if n is odd

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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2. Solve this with counterexamples and proofs to determine if each of the following functions is one-to-one, onto or both perfectly all the subparts on word.

 

(a) Let f: R→ Z be the function f(x) = [2x - 11.
(b) f: N→ Z where f(n):
=
F|N
if n is even
n+1 if n is odd
2
(c) f: Z→ Z where f(x) = 2x + 1
Transcribed Image Text:(a) Let f: R→ Z be the function f(x) = [2x - 11. (b) f: N→ Z where f(n): = F|N if n is even n+1 if n is odd 2 (c) f: Z→ Z where f(x) = 2x + 1
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