Let f(x)= cases x^ 2 +4x+1,& x<0

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

Problem

Let

f(x)=\begin{cases} x^{2}+4x+1,& x<0,\\ x+1,& x\ge 0. \end{cases}

Determine whether

f

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

x=0