Find all local maxima and minima of the function f(x)= cases (x+1)^2, & x -1, |x|, &…

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

Problem

Find all local maxima and minima of the function

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

State each point and the corresponding function value.