Question

Write the range of the real function f(x) = |x|.

 

Answer 1

Given:
f (x) =  | x |, x ∈ R
We know that 

\[\left| x \right| = \begin{cases}x, & x \geq 0 \\ - x & x < 0\end{cases}\]

It can be observed that the range of f (x) =  | x | is all real numbers except negative real numbers.
∴ The range of f is [0, ∞) .