If `f(x)={|x|`,when `x<0 ,x`,when `0 leq x lt 1` then f is 1, when `x lt 1` continuous for every real number x

If f(x)={|x-3|, when x>=1 and (x^(2))/(4)-(3x)/(2)+(13)/(2), whenx <1 then correct statement is

If f(x)={x, when x is rational,1-x, when x is irrational,then

If f(x)={x, when x is rational and 0, when x is irrational g(x)={0, when x is rational and x, when x is irrational then (f-g) is

If f(x)={x^(2), when x>=1x, when x<1 prove that f(x), is not differentiable at x=1.

If f(x)={x, when x is rational and 0, when x is irrational g(x)={0, when x is rational and x, when x is irrational then (f-g) is A. one-one and onto B. neither one-one nor onto C. many one and onto D one-one and into

If f(x)={x, when x is rational and 0, when x is irrational g(x)={0, when x is rational and x, when x is irrational then (f-g) is A. one-one and onto B. neither one-one nor onto C. many one and onto D one-one and into

If f(x)=-x, when x 0=0, when x>0 then test the continuity of f(x) at x=0

If f(x)=x^(2)+1, when x!=1 and f(x)=3 when x=1, prove that f(x) is not continuous at x=1.

If f(x)={(x,"when "0le x le 1),(2x-1,"when "x gt 1):} then -

If f(x)={(x,"when "0le x le 1),(2x-1,"when "x gt 1):} then -