Is it?

Algebra Level 3

True or false :

\quad The range of the function f : R → R , f ( x ) = { x } f : \mathbb{R} \rightarrow \mathbb{R} , f(x) = \{x\} is [ 0 , 1 ] [0,1] .

Notation : { ⋅ } \{ \cdot \} denotes the fractional part function .

True False

Ashish Menon by Ashish Menon , 20, India

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1 solution

Ashish Menon
Apr 28, 2016

The range of the given function can never be 1 1 , but in the sentence, we have included 1 due to which the given sentence is false. And hence the answer is " Yes \text{Yes} , it is false".

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