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A discontinuous function y = f(x) ...

A discontinuous function y = f(x) satisfying `x^(2) + y^(2) = 4` is given by f(x) = ………..

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Knowledge Check

  • Let f be a continuous function on R satisfying f(x+y)= f(x) + f(y) for all x, y in R with f(1) =2 and g be a function satisfying f(x) + g(x)= e^(x) then the value of the integral int_(0)^(1) f(x) g(x) dx is

    A
    `(1)/(e ) -4`
    B
    `(1)/(4) (e-2)`
    C
    `2//3`
    D
    `(1)/(2) (e-3)`

  • Given the function f (x) =(a ^(x) + a ^(-x))/(2), a gt 2, then f (x+y) + f(x -y) =

    A
    `2f (x). F (y)`
    B
    `f (x). F(y)`
    C
    `(f(x))/(f (y))`
    D
    `1/2 f (x) f (y)`

  • Let f be a continuous function satisfying f(x+y)=f(x)+f(y) for all x,y in R and f(1)=5 then lim_(x to 4) f(x) is equal to

    A
    4
    B
    80
    C
    0
    D
    none of these

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    Let f be a non - zero real valued continuous function satisfying f(x+y)=f(x)f(y) for x,y in R If f(2)=9 the f(6) =

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