Consider the function defined by

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

Problem

Consider the function

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

defined by

f(x)=x^{3}-6x

. Which one of the following is TRUE about

f

? (a)

f

is one–one but not onto. (b)

f

is onto but not one–one. (c)

f

is both one–one and onto. (d)

f

is neither one–one nor onto.