Let and , and define a function by , , . Which of the following correctly describes…

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

Problem

Let A={1,2,3}A=\{1,2,3\} and B={a,b,c,d}B=\{a,b,c,d\}, and define a function f:A→Bf:A\to B by f(1)=af(1)=a, f(2)=cf(2)=c, f(3)=df(3)=d. Which of the following correctly describes ff? (a) Onto but not one–one\text{Onto but not one–one} (b) Neither one–one nor onto\text{Neither one–one nor onto} (c) One–one but not onto\text{One–one but not onto} (d) Both one–one and onto\text{Both one–one and onto}

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