Function `f :R->R,f(x) = x|x|` is

Function f:R rarr R,f(x)=x|x| is

If R is the set of real numbers prove that a function f: R -> R,f(x)=e^x , x in R is one to one mapping.

Function f : R rarr R , f(x) = x + |x| , is

Function f : R rarr R , f(x) = x + |x| , is

Function f : R rarr R f(x) = 3 x -5 is

function f: R to R: f(x) =x^(3) is

The function f:R rarr R, f(x)=x^(2) is

The function f:R rarr R, f(x)=x^(2) is

If R is the set of real numbers prove that a function f:R rarr R,f(x)=e^(x),x in R is one to one mapping.

Find the domain and range of the following function : f : R rarr R , f(x) = (x^(2)-1)/(x-1), x ne 1