If `f(x) = |[ cos pix], x < 1; | x - 2 | , 1 <= x < 2`, then `f(x)` is

Let f(x) = cos 2pix + x -[x]([*] denotes the greatest integer function). Then number of points in [0,10] at which f(x) assumes its local maximum value, is

The number of point f(x) ={{:([ cos pix],0le x lt1),( |2x-3|[x-2],1lt xle2):} is discontinuous at Is ([.] denotes the greatest intgreal function )

The number of point f(x) ={{:([ cos pix],0le x lt1),( |2x-3|[x-2],1lt xle2):} is discontinuous at Is ([.] denotes the greatest intgreal function )

If f(x)=[x sin pix] , then which of the following, is incorrect,

If f(x)=[x sin pix] , then which of the following, is incorrect,

The number of points where f(x) is discontinuous in [0,2] where f(x) = { [cos pix ;x<1 , [x-2] ; x>1} where [.] represents G.I.F. is :

If f(x)={[cos(pix/2013),,x>0],[2x+a,,x<=0]} , Find the values of a if x=0 is a point of local maxima for f(x) .