Define r(x)= cases (x+2)^ 3 ,& x2

MATHEMATICS · Subjective · US High School · Algebra 1 · Functions · Functions

Problem

Define

r(x)=\begin{cases} (x+2)^{3},& x<-1,\\ x^{2}-1,& -1\le x\le 2,\\ (x-2)^{3}+5,& x>2. \end{cases}

List all

x

-values at which

r

has a relative extremum on

\mathbb{R}

and specify whether each is a relative maximum or a relative minimum.