Determine all real values of for which the function defined by is one–one.

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Determine all real values of

k

for which the function

f:\mathbb{R}\rightarrow\mathbb{R}

defined by

f(x)=x^{3}+3kx

is one–one.