JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

The range of the function

f(x)=\frac{x}{1+|x|}, x \in R

, is

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Correct option: B

(-1,1)

Option B ((-1,1)) is correct because the function f(x) = x/(1+|x|) is bounded between -1 and 1, and it never reaches these values.

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