Draw graph for `y=max{2x, x^(2)}` and discuss the continuity and diffrentiablity.

Draw graph for y=|x-1|.

Draw the graph for y=({x}-1)^(2) .

Let f(x)={{:(x sin.(1)/(x)",",x ne0),(0",",x=0):}} and g(x)={{:(x^(2)sin.(1)/(x)",", x ne 0),(0",", x=0):}} Discuss the graph for f(x) and g(x), and evaluate the continuity and differentiabilityof f(x) and g(x).

Draw the graph for |y|=(x-1)(x-2).

Draw the graph of y=2-|x-1| .

If f(x) = (x^(2)-1)/(x-1) Discuss the continuity at x = 1

If f(x) = (|X|)/(X) . Discuss the continuity at x = 0

Draw the graph of y=[sinx].

Draw the graph of y = tan^(-1)(tan x)

Draw the graph of y=sin x, x in R and write its range.