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Consider the function ƒ : {1, 2, 3, 4, 5} → {1, 2, 3, 4, 5} given by (²3 ƒ = a. Find f(3). b. Find a ʼn in the domain such that f(n) = 3. c. Find an element ʼn of the domain such that f(n) = n. d. Find an element of the codomain that is not in the range. 1 2 3 4 2 5 4 5).

Consider the function ƒ : {1, 2, 3, 4, 5} → {1, 2, 3, 4, 5} given by (²3 ƒ = a. Find f(3). b. Find a ʼn in the domain such that f(n) = 3. c. Find an element ʼn of the domain such that f(n) = n. d. Find an element of the codomain that is not in the range. 1 2 3 4 2 5 4 5).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the function ƒ : {1, 2, 3, 4, 5} → {1, 2, 3, 4, 5} given by f = a. Find f(3). b. Find a n in the domain such that f(n) = 3. 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. 5) 3 2 5 44, 1 2 3 4
Transcribed Image Text:Consider the function ƒ : {1, 2, 3, 4, 5} → {1, 2, 3, 4, 5} given by f = a. Find f(3). b. Find a n in the domain such that f(n) = 3. 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. 5) 3 2 5 44, 1 2 3 4
Expert Solution
Step 1: Given the information

The given function f colon open curly brackets 1 comma 2 comma 3 comma 4 comma 5 close curly brackets rightwards arrow open curly brackets 1 comma 2 comma 3 comma 4 comma 5 close curly brackets given by,

f equals open parentheses table row 1 2 3 4 5 row 3 2 5 4 4 end table close parentheses.

The aim is to find the following values,

(a) Find f open parentheses 3 close parentheses.

(b) Find n such that f open parentheses n close parentheses equals 3

(c) Find n such that f open parentheses n close parentheses equals n.

(d) Find the element in the codomain that is not in the range of f.

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