f:A B A = {0, 1, 2}, B = {0,1} f(0) = 1, f(1) = 0, f(2) = 1 1.Is f, as described above, a function? If it is not a function, explain why. 2.If f is a function. Answer the following: a.lsfinjective? If it is not injective, explain why. %3D %3D %3D b.lsf surjective? If it is not surjective, explain why. c.lsf bijective? If it is not bijective, explain why. d.Does f have an inverse? If f has an inverse, what is the domain and codomain of f-? If f does not have an inverse, explain why.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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QUESTION 2
f:A B
A = {0, 1, 2}, B = {0,1}
f(0) = 1, f(1) = 0, f(2) = 1
1. Is f, as described above, a function? If it is not a function, explain why.
2.If f is a function. Answer the following:
%3D
%3|
a.lsfinjective? If it is not injective, explain why.
b.lsf surjective? If it is not surjective, explain why.
c.lsf bjective? If it is not bjective, explain why.
d. Does f have an inverse?
If f has an inverse, what is the domain and codomain of f-?
If f does not have an inverse, explain why.
For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
Arial
10pt
B IU S
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!!!
Transcribed Image Text:QUESTION 2 f:A B A = {0, 1, 2}, B = {0,1} f(0) = 1, f(1) = 0, f(2) = 1 1. Is f, as described above, a function? If it is not a function, explain why. 2.If f is a function. Answer the following: %3D %3| a.lsfinjective? If it is not injective, explain why. b.lsf surjective? If it is not surjective, explain why. c.lsf bjective? If it is not bjective, explain why. d. Does f have an inverse? If f has an inverse, what is the domain and codomain of f-? If f does not have an inverse, explain why. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). Arial 10pt B IU S Paragraph !!!
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