For the piece-wise function f(x)= cases x^ 2 +2x, & -3 x -1, 4-x, & -1< x 4

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

Problem

For the piece-wise function

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

find the

x

-coordinates at which the function attains its absolute maximum and absolute minimum on the interval

[-3,4]