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Functions question

2019 · 11 Jan · Shift 1 · Q29

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PYQ Library
JEE Main
Mathematics
Functions
2019 · 11 Jan · Shift 1 · Q29

Functions question

2019 · 11 Jan · Shift 1 · Q29

JEE MainMathematicsFunctionsMCQ+4 / −1

Let f : R

\to

R be defined by f(x) =

{x \over {1 + {x^2}}},x \in R

. Then the range of f is :

A
$\left[ { - {1 \over 2},{1 \over 2}} \right]$
B
$R - \left[ { - {1 \over 2},{1 \over 2}} \right]$
C
( $-$ 1, 1) $-$ {0}
D
R $-$ [ $-$ 1, 1]

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