Q. 185.0( 2 Votes )

Express the function f : X R given by f(x) = x3 + 1 as set of ordered pairs, where X = {–1, 0, 3, 9, 7}.

Answer :

Given X = {–1, 0, 3, 9, 7}


f : X R and f(x) = x3 + 1


When x = –1, we have f(–1) = (–1)3 + 1


f(–1) = –1 + 1


f(–1) = 0


When x = 0, we have f(0) = 03 + 1


f(0) = 0 + 1


f(0) = 1


When x = 3, we have f(3) = 33 + 1


f(3) = 27 + 1


f(3) = 28


When x = 9, we have f(9) = 93 + 1


f(9) = 729 + 1


f(9) = 730


When x = 7, we have f(7) = 73 + 1


f(7) = 343 + 1


f(7) = 344


Thus, f = {(–1, 0), (0, 1), (3, 28), (9, 730), (7, 344)}


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