If `x` satifies `|x-1|+|x-2|+|x-3|geq6,` then (a)`0lt=xlt=4` (b). `xlt=-2orgeq4` (c). `xlt=0orxgeq4` (d). None of these

If xlt 0 then f(x) =x^2-x is

Let f(x)=[|x|-|x-1|]^(2) What is f'(x) equal to when 0lt xlt1 ?

The absolute value of |x-2|+|x+2| , if 0lt xlt 2 is

Maximum value of x(1-x)^2 when 0lt=xlt=2 is

The number of solutions of 2cosx=|sinx|,0lt=xlt=4pi, is 0 (b) 2 (c) 4 (d) infinite

The domain of definition of the function f(x) given by the equation 2^y=2 is 0

The domain of definition of the function f(x) given by the equation 2^y=2-2^x is 0

if f(x) ={{:(x+2 ,if xlt0),(-x^(2)-2 ,if 0le xlt1),( x ,if xge1):} then the number of points of discontinuity of |f(x)|is (a) 1 (b) 2 (c) 3 (d) none of these

If the function f is defined as f(x) = {(3x-2,xgt3),(x^(3)-2,-2lt=xlt=2),(2x+1,xlt-2):} Then find the values, if exists f (4), f (-4), f(0), f(-7).

Let f(x)=cospix+10x+3x^2+x^3,-2lt=xlt=3. The absolute minimum value of f(x) is 0 (b) -15 (c) 3-2pi none of these