On the set a rule is given by

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

On the set D={0,1,4}D=\{0,1,4\} a rule ff is given by f(x)=±xf(x)=\pm\sqrt{x}. Which option correctly describes this rule? (a) It is a function whose range is {0,1,2}\{0,1,2\}. (b) It is not a function because each xx in DD has two distinct images. (c) It is a function with domain DD and range {0,1,2,−1,−2}\{0,1,2,-1,-2\}. (d) It is not a relation on DD.

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