Mathematics

Mathematics

Problem

Let fp:R→Rf_p:\mathbb R \to \mathbb R be defined by fp(x)=x3+pxf_p(x)=x^{3}+px, where p∈Rp\in\mathbb R. For which values of pp does fpf_p fail to be one–one on R\mathbb R? a) p≤0p\le 0 b) p=0p=0 c) p<0p<0 d) It is one–one for every real pp

Browse the problem library