The piecewise function is defined by g(x)= cases x^ 3 +3x^ 2 , & x<0, -x^ 3 +3x, & x 0

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

Problem

The piecewise function

g

is defined by

g(x)=\begin{cases}x^{3}+3x^{2}, & x<0,\\-x^{3}+3x, & x\ge 0.\end{cases}

Identify every interval on which

g

is concave down and list the

x

-values of any points of inflection.