Obtain domain, co-domain and range for the following functions :
$(1)$ $f: \mathrm{A} \rightarrow \mathrm{B}, \mathrm{A}=\{-1,0,1\}, \mathrm{B}=\{1,2,3,4,5,6,7\}, f(x)=2 x+5, x \in \mathrm{A}$
$(2)$ $g: \mathrm{A} \rightarrow \mathrm{N}, \mathrm{A}=\{-1,2,3,4\}, g(x)=3 x+5, x \in \mathrm{A}$
$(3)$ $h: \mathrm{P} \rightarrow \mathrm{S}, \mathrm{P}=\{-2,-1,0,1\}, \mathrm{S}=\{-4,-3,-2,-1\}, h(x)=x-2, x \in \mathrm{P}$
$(4)$ $k: \mathrm{A} \rightarrow \mathrm{Z}, \mathrm{A}=\left\{-\frac{1}{2}, 0, \frac{1}{2}\right\}, k(\mathrm{x})=4 x^{2}+3, x \in \mathrm{A}$
→From the following observations find what percentage of observations are included In the range $x \pm s$ ?
$90,105,94,82,116,80,90,100,115,108,98,75$.
→Out of total $1850$ women working in a factory, $549$ were residing in labour area. Out of total married women of labour area, $250$ had experience and $93$ were inexperienced, the number of experienced and inexperienced women from other area were $87$ and $400$ respectively. The total number of inexperienced women was $1336$ and out of them, $136$ were from labour area. Out of total women, $1020$ were unmarried. Among them, the number of experienced women from labour area and from other area were $163$ and $14$ respectively. Present these data in tabular form.
→