A function is continuous on and has critical points at and where and
MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
A function f is continuous on [−5,2] and has critical points at x=−2 and x=1 where f(−2)=7 and f(1)=−3. The endpoint values are f(−5)=4 and f(2)=0. Identify which, if any, of the local extrema at x=−2 and x=1 are also absolute extrema on [−5,2], and state the absolute maximum and minimum values of f on the interval.