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Write the Range of the Real Function F(X) = |X|. - Mathematics

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प्रश्न

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

 
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उत्तर

Given:
(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, ∞) . 

 
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अध्याय 3: Functions - Exercise 3.5 [पृष्ठ ४१]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 3 Functions
Exercise 3.5 | Q 1 | पृष्ठ ४१
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