Let be defined by

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

Let

f_p:\mathbb R \to \mathbb R

be defined by

f_p(x)=x^{3}+px

, where

p\in\mathbb R

. For which values of

p

does

f_p

fail to be one–one on

\mathbb R

? (a)

p\le 0

(b)

p=0

(c)

p<0

(d) It is one–one for every real

p