The function is defined by g(x)= cases x^ 2 +2x, & x -1, (x+2), & x>-1

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

Problem

The function

g

is defined by

g(x)=\begin{cases} x^{2}+2x, & x\le -1,\\ \ln(x+2), & x>-1. \end{cases}

Determine whether

g

has a local maximum, a local minimum, or neither at

x=-1

, and state your conclusion.