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Let f = {( X, X2 / 1 + X2 ) :X ∈ R} be a function from R into R. Determine the range of f.

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asked Feb 7, 2018 by Rohit Singh (63.1k points)
edited Aug 19, 2018 by AbhishekAnand

Let f = {( X, X²/(1 + X² )) :X ∈ R}

be a function from R into R. Determine the range of f.

relations and functions
class-11

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1 Answer

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answered Feb 7, 2018 by sameer (54.8k points)
selected Aug 19, 2018 by AbhishekAnand

Best answer

The range of f is the set of all second elements. It can be observed that all
these elements are greater than or equal to 0 but less than 1.
[Denominator is greater numerator] Thus, range of f = [0, 1)

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