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Function is defined as a rule or a manner or a mapping or a correspondence ft which maps each and every element of sct Awith a unique clement of sct B. 11 is denoted by: f . - fA Bord ——> B we read it as ‘fis a function from 4 to B’. Example maps 4 to B BOM 4) (2-1, 0, 1,2} (C) f(x) = V5 (01.4) > (-2,-1,0, 1,2} (©) f@) =—Vx; {0, 1,4} > -2,-1, 6, 1,2} SOLUTION JS()in(C)and (DP) are functions as definition of function is satisfied, While in case of (4) the given relation is not a function, as f(-]) ¢ co-domain. Hence, definition of So SAHRA ee! a f= Sets, Relations aud Pancit Piva at function is not satisfied. While in case of (/2), the given relation is not a function, as f(1) = 1 and f(4) = £2 be. element | as well as 4 in domain are related with two elements of co-domain, Hence, definition of function is not satisfied. IfX = {a, b,c, d, e} and Y= {p.g, 5, t} then which of the following subset(s) of X * ¥ is/are a function from X to ¥ (A) 1.) G7) 3) (4,9 (D3 B) {a Gp) Ada} (C) {a p) (6,9 (6, 7) 8) Ce OY D) {@AIBAICNHAGAE SOLUTION Let us check every option for the two conditions of the function (A) ++ & has two output (images) namely r and s, therefore, not a function (B) ‘+ e€ X docs not have any image, therefore, not a function (C) * every element of X has one and only one output, therefore, it is a function (D) +: every element's output is r, therefore, it is a function Hence, correct options are (C) and (D). ‘Function’ as an Ordered Pair fi ADB FAC, §), 2,5), 3, 39} => fCAXB where 4 * B is the Cartesian product of two set d and B = {0,0 2.4), G9), (19) GY), B99} 
