Match List I with List II List-I

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Match List I with List II

List-I		List-II
A	$f:R→R\,\, f(x)=[x]$	I	Signum function
B	$f:R→R\,\, f(x)=\|x\|$	II	Identity function
C	$f:R→R\,\, f(x)=x$	III	Greatest Integer function
D	$f:R→R\,\, f(x)=\left\{\begin{matrix}-1 & if &x<0\\0& if & x=0 \\1 & if & x >0\end{matrix}\right.$	IV	Modulus function

Choose the correct answer from the options given below :

Options:

A-I, B-III,C-II, D-IV

A-II, B-I, C-III, D-IV

A-II, B-IV, C-I, D-III

A-III, B-IV, C-II, D-I

Correct Answer:

A-III, B-IV, C-II, D-I

Explanation:

$(A)\;f(x)=[x]\;\rightarrow\;\text{Greatest Integer Function}\;\Rightarrow(III).$

$(B)\;f(x)=|x|\;\rightarrow\;\text{Modulus Function}\;\Rightarrow(IV).$

$(C)\;f(x)=x\;\rightarrow\;\text{Identity Function}\;\Rightarrow(II).$

$(D)\;f(x)=\begin{cases}-1,&x<0\\0,&x=0\\1,&x>0\end{cases} \;\rightarrow\;\text{Signum Function}\;\Rightarrow(I).$

$\text{Correct matching: }A\!-\!III,\;B\!-\!IV,\;C\!-\!II,\;D\!-\!I.$