Consider the function f : {1,2, 3, 4, 5} → {1,2,3, 4, 5} given by 2 3 4 5 f = 1 3 2 5 3 a. Find f(2). b. Find a n in the domain such that f(n) = 2. c. Find an element n of the domain such that f(n) = n. d. Find an element of the codomain that is not in the range.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the function f : {1,2, 3, 4, 5} → {1,2,3, 4, 5} given by
2
3
4
5
f =
1
3 2
5
3
a. Find f(2).
b. Find a n in the domain such that f(n) = 2.
c. Find an element n of the domain such that f(n)
= n.
d. Find an element of the codomain that is not in the
range.
Transcribed Image Text:Consider the function f : {1,2, 3, 4, 5} → {1,2,3, 4, 5} given by 2 3 4 5 f = 1 3 2 5 3 a. Find f(2). b. Find a n in the domain such that f(n) = 2. c. Find an element n of the domain such that f(n) = n. d. Find an element of the codomain that is not in the range.
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