Find the domain and the range of the square root function,
`f:R^(+)uu{0}toR:f(x)=sqrtx` fol all non-negative real numbers. Also, draw its graph.

Explanation

Let `f:R^(+)uu{0}toR:f(x)=sqrtx`. Then, dom `(f)=[0,oo)` and range `(f)=[0,oo)`.
We have
`sqrt0=0,sqrt1=1,sqrt2.25=1.5,sqrt4=2,sqrt6.25=2.5andsqrt9=3`.
On a graph paper, we plot the points O(0,0), A(1,1), B(2.25,1.5), C(4,2), D(6.25,2.5), and E(9,3). Join these points freehand successively to get the required curve.