Let where and be defined by

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

Problem

Let f:A→Bf:A\to B where A={1,2,3,4}A=\{1,2,3,4\} and B={a,b,c}B=\{a,b,c\} be defined by f(1)=a, f(2)=b, f(3)=b, f(4)=cf(1)=a,\,f(2)=b,\,f(3)=b,\,f(4)=c. Which statement about ff is true? (a) Neither injective nor surjective\text{Neither injective nor surjective} (b) Surjective but not injective\text{Surjective but not injective} (c) Injective but not surjective\text{Injective but not surjective} (d) Bijective\text{Bijective}

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