The function f:R → [ - 1/2,1/2 ] defined as f(x) = x/(1 + x²), is

(C) surjective but not injective

(B) injective but not surjective.

(D) neither injective nor surjective.

Sets, Relations and Functions: JEE Main 2017 Mathematics question

JEE Main 2017 · Session, Shift 1 · Q3795

JEE Main 2017Session, Shift 1MathematicsMediumSets, Relations and Functions168× since 2002

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

JEE Main 2017 · Session, Shift 1 · Q3795

JEE Main 2017Session, Shift 1MathematicsMediumSets, Relations and Functions168× since 2002

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