The function defined by is

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The function

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

defined by

f(x)=(x-1)^2(x-2)^2(x-3)

is (1) One-one but not onto (2) Onto but not one-one (3) Both one-one and onto (4) Neither one-one nor onto