Let function f: Z Z be defined as follows; 1 x is odd f(x) = . x² + 2 x is even The functionf is . a) 1-1 but not onto b) onto but not 1-1 c) 1-1 and onto d) neither 1-1 nor onto

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let function f: Z Z be defined as follows;
х — 1
x is odd
f(x) = .
x² + 2
x is even
The functionf is
.
a) 1-1 but not onto
b) onto but not 1-1
c) 1-1 and onto
d) neither 1-1 nor onto
Transcribed Image Text:Let function f: Z Z be defined as follows; х — 1 x is odd f(x) = . x² + 2 x is even The functionf is . a) 1-1 but not onto b) onto but not 1-1 c) 1-1 and onto d) neither 1-1 nor onto
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