Question

The range of the function f(x) = |x − 1| is

(a) (−∞, 0)
(b) [0, ∞)
(c) (0, ∞)
(d) R

Answer 1

(b) [0, ∞)

$$\begin{gathered} f\left(x\right)=\left|x-1\right|\ge 0\forall x\in R \\ \mathrm{Thus},\mathrm{range}=[0,\infty 0 \end{gathered}$$