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 :
Answer & explanation
Correct answer: option 4
$(A)\;f(x)=[x]\;\rightarrow\;\text{Greatest Integer Function}\;\Rightarrow(III).$
$(B)\;f(x)=|x|\;\rightarrow\;\text{Modulus Function}\;\Rightarrow(IV).$
$(C)\;f(x)=x\;\rightarrow\;\text{Identity Function}\;\Rightarrow(II).$
$(D)\;f(x)=\begin{cases}-1,&x<0\\0,&x=0\\1,&x>0\end{cases} \;\rightarrow\;\text{Signum Function}\;\Rightarrow(I).$
$\text{Correct matching: }A\!-\!III,\;B\!-\!IV,\;C\!-\!II,\;D\!-\!I.$