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Only F, H and J please.

Only F, H and J please.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 17E: In each of the following parts, a relation R is defined on the power set (A) of the nonempty set A....
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Only F, H and J please.
7.1 In each example below, f is given either as a rule or as a set of ordered pairs. In each case, determine whether or not f is a function from S to T. For those cases in which it is, determine whether it is one-to-one, and whether it is onto. a) S={1,2,3,4,5}, T={6,7,8,9, 10}, f={(1,8), (3,9), (4, 10), (2, 6), (5,9)} b) S and T are as in (a), f= {(1,8), (3, 10), (2,6), (4,9)} c) S and T are as in (a), f= {(1,7), (2,6), (4, 5), (1,9), (5, 10)} %3D d) S=T=R, f(x)=x²- x e) S=T=R, f(x)=x³ f) S=T=R, f(x)=Vx g) S=T=R, f(x)=1/x h) S=T=Z*, f(x)=x+1 if x=1 if x>1 1 i) S-T-Z*, f(x)={, x-1 j) S=T=R*, f(x)= x2+1
Transcribed Image Text:7.1 In each example below, f is given either as a rule or as a set of ordered pairs. In each case, determine whether or not f is a function from S to T. For those cases in which it is, determine whether it is one-to-one, and whether it is onto. a) S={1,2,3,4,5}, T={6,7,8,9, 10}, f={(1,8), (3,9), (4, 10), (2, 6), (5,9)} b) S and T are as in (a), f= {(1,8), (3, 10), (2,6), (4,9)} c) S and T are as in (a), f= {(1,7), (2,6), (4, 5), (1,9), (5, 10)} %3D d) S=T=R, f(x)=x²- x e) S=T=R, f(x)=x³ f) S=T=R, f(x)=Vx g) S=T=R, f(x)=1/x h) S=T=Z*, f(x)=x+1 if x=1 if x>1 1 i) S-T-Z*, f(x)={, x-1 j) S=T=R*, f(x)= x2+1
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