Answer with Step-by-step explanation:
We are given that a function
[tex]f(x)=\frac{\mid x\mid}{x}[/tex]
where x can be any real number except 0.
We have to create graph of f
The given function can be written as
[tex]f(x)=\left\{\begin{matrix}-1&,ifx<0\\1&,if0<x\end{matrix}\right.[/tex]
We can see that when substitute the value of x less than 0 then we get
[tex]f(x)=-1[/tex]
when we substitute the values of x greater than 0 then we get
[tex]f(x)=1[/tex]
Domain of f=R-{0}
Range of f(x)={-1,1}
