Let g(x)= cases x^ 2 -4x,&0 x<3 5,&x=3 -x+8,&3<x 5 cases

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

Problem

Let

g(x)=\begin{cases}x^{2}-4x,&0\le x<3\\5,&x=3\\-x+8,&3<x\le5\end{cases}.

Determine all

x

-values at which

g

attains its absolute minimum on the interval

[0,5]