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+3px

, where

p\in\mathbb R

. For which of the following choices of

p

f

onto

\mathbb R

? (a)

p=0

(b)

p>0

p

(d)

p\neq 0