Question: 4) [10] Let A= (0,1,2,3,4) , R be a relation on A such that R=( 0,0 , 0,1 , 1,2 , 1,3 , 1,4)} and

4) [10] Let A= (0,1,2,3,4) , R be a relation on A such that R=( 0,0 , 0,1 , 1,2 , 1,3 , 1,4)} and S be a relation on A such that S=( (4,2) , 3,1), 2,2), (1,1), 0,2 ) . a) List the elements of RS . b) List the elements of SR c) Is R a function from A into A ? Why or why not? d) Is S a function from A into A ? Why or why not? e) Is R transitive? Why or why not? f) Is SR transitive? Why or why not? g) List the elements of R2

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