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

Question:

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

(a) (−∞, 0)

(b) [0, ∞)

(c) (0, ∞)

(d) R

Solution:

(b) [0, ∞)

$f(x)=|x-1| \geq 0 \forall x \in R$

Thus, range $=[0, \infty 0$

 

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