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)`.

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

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

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)={{:("2x+3, when x is an rational ,"),(x^(2)+1", when x is irrational,"):} then f(0) =

If the polynomial f(x) be defined by f(x) = {{:(2x^(2)-3 " when " xle2),(2x+1 " when "2ltxle4),(1/(2x-1) "when "xgt4):} then find (a)f(sqrt2),(b)f(pi) .

(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 .

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:

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