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10., , 11., , 14,, , 17., , . Let f:R > Rand g:C ->C be two functions defined as f (x) = x and g (x) =x?. Are they, , equal functions?, , Iff, g, hare three functions defined from R to R as follows:, @ f@=x* (i) g(x) =sinx (ili) A(x) =x? +1, , Find the range of each function., , LetX =[1, 2, 3, 4) and Y =(1,5, 9, 11, 15, 16, Determine which of the following sets are functions from X to Y., @ fa =, 2), (2, 11), (3, 1), (4, 15) (i) fo = (1,1), (2,7), (3,5), (iii): fy = ((1, 5), (2, 9) (3, 1), (4,5), (2, 11). _ INCERT], Let A = {12, 13, 14, 15, 16, 17} and f : A > Z be a function given by, f (x) = highest prime factor of x., Find range of f., , . If f: R — R be defined by f (x) =x” +1, then find f~ (17) and f~1 (- }., , Let A ={p, q,1, s} and B =[{1, 2, 3}. Which of the following relations from A to B is not a, function?, , () Ry =(p. 1), (G2), 1), (8, 2) Gi). Ro =((p, 1), (Ge 0), (7, 0), (8, DI, - ase (1), (4, 2), (P, 2), (8, 3) Civ) Rg =((p, 2), (9,3), (rr 2), (8, 2)}., , = {9, 10, 11, 12, 13} and let f: A >» Nbe defined by f os the highest prime factor, a therangeoff. INCERT], Se) 2. 05x <3:, The function f is defined by f (x) = ass, = 2, < ; Xt 0-S X52., The relation gis defined by g(x) = ie ai, ee isa function and gis not a function. : (NCERT], = fAD=-f0) lef (x) = x2, fing | [NCERT], , (11) -1