RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 3. Functions

Subject: Maths - Class 11th

Q. No. 3 of Exercise 3F

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3

Let X = {–1, 0, 2, 5} and f : X R Z: f(x) = x3 + 1. Then, write f as a set of ordered pairs.

Given, X = {–1, 0, 2, 5}


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


Finding f(x) for each value of x,


(1) f(-1) = (-1)3 + 1 = -1 + 1 = 0


(2) f(0) = (0)3 + 1 = 0 + 1 = 1


(3) f(2) = (2)3 + 1 = 8 + 1 = 9


(4) f(5) = (5)3 + 1 = 125 + 1 = 126


f in ordered pair is represented as


f = {(-1,0),(0,1),(2,9),(5,126)}


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