(b) The function f : R Ris defined as follows: -r, if r<0 if 0 1 f(r) = {r. Plot the function, and say whether it is Bijective function or no your answer.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a) Consider the function f: Z → Z given by
S(x) =n+1, ifn is even
n-3, if n is odd
i. Is f injective? Prove your answer
ii. Is f surjective? Prove your answer
(b) The function f: R R is defined as follows:
if r<0
r, if 0 <r< 1.
if r> 1
Plot the function, and say whether it is Bijective function or not. Explain
一工.
f(x) =
1.
your answer.
Transcribed Image Text:(a) Consider the function f: Z → Z given by S(x) =n+1, ifn is even n-3, if n is odd i. Is f injective? Prove your answer ii. Is f surjective? Prove your answer (b) The function f: R R is defined as follows: if r<0 r, if 0 <r< 1. if r> 1 Plot the function, and say whether it is Bijective function or not. Explain 一工. f(x) = 1. your answer.
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