Check whether the relation R on the set S = {1, 2, 3} is an equivalent relation where

Check whether the relation R on the set S = {1, 2, 3} is an equivalent relation where ? = {(1,1), (2,2), (3,3), (2,1), (1,2), (2,3), (1,3), (3,1)}. Which of the following properties R has: reflexive, symmetric, anti-symmetric, transitive? Justify your answer in each case? c) Let ? = {?, ?, ?} and ? = {(?,?), (?,?), (?,?), (?,?), (?,?)}, find [?], [?] and [?] (that is the equivalent class of a, b, and c). Hence or otherwise find the set of equivalent class of ?, ? and ?? real number. i. State the domain of each of the two functions ii. Determine whether or not f is a one -to- one function iii. Find the inverse of the function f

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