Let be the piecewise-defined function f(x)= cases x^ 2 +4x+3, & x -1 2 - x, & x> -1…

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Let

f

be the piecewise-defined function

f(x)=\begin{cases}x^{2}+4x+3, & x\le -1\\2 - x, & x> -1\end{cases}

Determine whether

f

has a local extremum at

x = -1

and, if so, classify it.