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Functions question

2017 · Shift 0 · Q31

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PYQ Library
JEE Main
Mathematics
Functions
2017 · Shift 0 · Q31

Functions question

2017 · Shift 0 · Q31

JEE MainMathematicsFunctionsMCQ+4 / −1

The function

f:R \to \left[ { - {1 \over 2},{1 \over 2}} \right]

defined as

f\left( x \right) = {x \over {1 + {x^2}}}

, is

A
invertible
B
injective but not surjective.
C
surjective but not injective
D
neither injective nor surjective.

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