Consider the function

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

f(x) = |x^3 + 1|

. Then, (1) domain of

f

x \in \mathbb{R}

(2) range of

f

\mathbb{R}^+

(3)

f

has no inverse (4)

f

is continuous and differentiable for every

x \in \mathbb{R}