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

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Question

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

Options

  • (a) (−∞, 0)

  • (b) [0, ∞)

  • (c) (0, ∞)

  • (d) R

     
MCQ

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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Chapter 3: Functions - Exercise 3.6 [Page 45]

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RD Sharma Mathematics [English] Class 11
Chapter 3 Functions
Exercise 3.6 | Q 42 | Page 45

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