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

If f(x) = {|x|-|x-1|}^(2) , draw the graph of f(x) and discuss its continuity and differentiability of f(x)

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 for y=|2-|x-1|| .

Let f(x) = |x-1|+|x+1| Discuss the continuity and differentiability of the function.

Draw the graph of y=[sinx].

Draw the graph of the function f(x) = x - |x - x^(2)|, -1 le x le 1 and discuss the continuity or discontinuity of f in the interval -1 le x le 1

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