# The Range of the Function F(X) = |X − 1| is (A) (−∞, 0) (B) [0, ∞) (C) (0, ∞) (D) R - Mathematics

MCQ

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

• (a) (−∞, 0)

• (b) [0, ∞)

• (c) (0, ∞)

• (d) R

#### Solution

(b) [0, ∞)

$f(x) = \left| x - 1 \right| \geq 0 \forall x \in R$
$\text{ Thus, range} = [0, \infty 0$

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 3 Functions
Q 42 | Page 45