Question

Let f(x) = |x| / x , where x can be any real number except 0.
b. What is the range of f?

Answer 1

Range of f(x)={-1,1}

Explanation:

We are given that a function

`f(x)=(\mid x\mid)/(x)` where x can be any real number except 0.

We have to find the range of f.

The given function can be written as

`f(x)=\left{\begin{matrix}-1&,ifx<0\\1&,if0<x\end{matrix}\right.`

We can see that when substitute the value of x less than 0 then we get
`f(x)=-1`

when we substitute the values of x greater than 0 then we get

`f(x)=1`

Range of f(x)={-1,1}