Question

the domain and range of the real valued function f defined by x/|x| is

Answer 1

f(x) \(=\frac{x}{|x|}\) \(=\begin{cases}-1,&x<0\\1,&x>0\\\text{Not defined},&x=0\end{cases}\)

∴ Domain of function f(x) is ℝ-{0}

And range of function f(x) is {-1, 1}.