If `f(x)={{:(,x[x], 0 le x lt 2),(,(x-1)[x], 2 le x lt 3):}` where [.] denotes the greatest integer function, then

If f (x) = {{:([x], , 0 le x lt 3),(|[x]+1|, , - 3 lt x lt 0):}, where [.] denotes greatest integer function, then number of point at which f (x) is discontinuous in (-3,3), is equa to ________.

If f(x)= {(|1-4x^2|,; 0 lt= x lt 1), ([x^2-2x],; 1 lt= x lt 2):} , where [.] denotes the greatest integer function, then f(x) is

If f(x) = {{:(|1-4x^(2)|",",0 le x lt 1),([x^(2)-2x]",",1 le x lt 2):} , where [] denotes the greatest integer function, then

Consider two functions f(x)={([x]",",-2le x le -1),(|x|+1",",-1 lt x le 2):} and g(x)={([x]",",-pi le x lt 0),(sinx",",0le x le pi):} where [.] denotes the greatest integer function. The number of integral points in the range of g(f(x)) is

Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]= greatest integer less than or equal to x, then: The number of values of x for x in [0,3] where f (x) is dicontnous is:

Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]= greatest integer less than or equal to x, then: The number of values of x for x in [0,3] where f (x) is non-differentiable is :

Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]= greatest integer less than or equal to x, then: The number of integers in the range of y =f (x) is:

Let f(x)=(x^(2)+1)/([x]),1 lt x le 3.9.[.] denotes the greatest integer function. Then

If f(x) = {{:("sin"(pix)/(2)",",x lt 1),([x]",",x ge 1):} , where [x] denotes the greatest integer function, then

If f(x)={{:(,x^(2)+1,0 le x lt 1),(,-3x+5, 1 le x le 2):}