For Blank 1 f:Z → Z, f (m) = 3D Зт - 2 g(x) = |x|| g: R → S, where S = {x E R|x 2 0} %3D h(x) = In(x) R*is a set of positive real numbers h: R* → R, r:Z → Z, r(n) = E %3D p: Q → Q, p(x) = x + 3 u: R → R, u(x) = x² 1) Which of the functions above are injective?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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QUESTION 7
For Blank 1
f:Z → Z,
%3D
g: R → S,
where S = {x E R|x 2 0}
g(x) = |x|
h(x) = In(x)
R*is a set of positive real numbers
h: R* → R,
[nj
r:Z → Z,
r(n) =
%3D
p: Q → Q,
p(x) = x + 3
u: R → R,
u(x) = x²
1) Which of the functions above are injective?
2) Which of the functions above are onto functions?
3) Which of the functions above are neither injective nor surjective?
4) Which of the functions above are bijections?
Enter the functions separating them by commas. Enter "none" if there are no
functions satisfying specified conditions.
Transcribed Image Text:QUESTION 7 For Blank 1 f:Z → Z, %3D g: R → S, where S = {x E R|x 2 0} g(x) = |x| h(x) = In(x) R*is a set of positive real numbers h: R* → R, [nj r:Z → Z, r(n) = %3D p: Q → Q, p(x) = x + 3 u: R → R, u(x) = x² 1) Which of the functions above are injective? 2) Which of the functions above are onto functions? 3) Which of the functions above are neither injective nor surjective? 4) Which of the functions above are bijections? Enter the functions separating them by commas. Enter "none" if there are no functions satisfying specified conditions.
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