If `f(x)={{:("0, when x is an integer ,"),("2, when x is not an integer,"):}` then `f(pi)` =

The polynomial f(x) is defined by f(x)={{:("0 when x is an integer ,"),("1 when x is not an integer ,"):} Then compute : (a)f(-2),(b)f(sqrt3) .

A function f(x) is defined as follows: f(x)={:{(1",","when x is an integer"),(0",","when x is not an integer"):} Draw the graph of the function and from the graph find its points of discontinuity (if any).

If f(x) = 0 when x is an integer. = 2 when x is not an integer, then find - (a) f(0), (b) f(sqrt2) .

Let f (x) =[x] and g (x) =0 when x is an integer and g (x) =x ^(2) when x is not an integer ([] is ghe greatest integer function) then:

Let f (x) =[x] and g (x) =0 when x is an integer and g (x) =x ^(2) when x is not an integer ([] is ghe greatest integer function) then:

(a)Let f(x)={(x,if x is an integer),(0,if x is not an integer)) .Show that underset (x rarr 1)Lt f(x)=0 .

If F(x)=Ax^(2)+Bx+C,and f(x) is integer when x is integer then

Let f(x)=x[x], where [^(*)] denotes the greatest integer function,when x is not an integer then find the value of f'(x)

Let f(x) = x [x], where [*] denotes the greatest integer function, when x is not an integer then find the value of f prime (x)