Let the function be defined by for

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let the function

f: \mathbb{R} \to \mathbb{R}

be defined by

f(x) = 2x + \sin x

for

x \in \mathbb{R}

. Then

f

is (1) one-to-one and onto (2) one-to-one but not onto (3) onto but not one-to-one (4) neither one-to-one nor onto

Related theory

Browse the problem library