The following functions all have {1, 2, 3, 4, 5} as both their domain and codomain. For each, determine whether itis (only) injective, (only) surjective, bijective, or neither injective nor surjective.(4-xIf(x) = {4-7 ifz>49injective surjective bijective neither2 3 4 51 2 2 3injective surjective bijective neitherf==11f=14 4 2 3 1injective surjective bijective neither=2 3 4 5f(x) = {5)if x < 42 if x ≥ 4injective surjective bijective neitherII

Given that f(x)=4-x if x<49-x if x ≥4. Domain of the function is {1,2,3,4,5} and Codomain of…

Answered: The following functions all have {1, 2,…

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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The following functions all have domain {1, 2, 3, 4, 5} and codomain {1, 2, 3}. For each, determine whether it is (only) injective, (only) surjective, bijective, or neither injective nor surjective. a. f(n) = ( C. 1 2 3 4 5 1 Choose an answer: Select an answer b. f(n) = ( 1² (1²345) {² 2 3 1 2 2 Choose an answer: Select an answer x 3 Choose an answer: Select an answer î

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The following functions all have {1, 2, 3, 4, 5} as both their domain and codomain. For each, determine whether is (only) injective, (only) surjective, bijective, or neither injective nor surjective.