MATH 102 Lecture Notes - Lecture 5: Minimax, Maxima And Minima

• School: UBC
• Department: Mathematics
• Course: MATH 102
• Professor: TBA

Document Summary

An absolute minimum/maximum is the lowest/highest value that a function takes on (it must reach the value). A continuous function on a closed interval [a,b], takes on its lowest/highest value either at an extremum (local minimum/maximum) or at an endpoint (x=a or x=b). Finding absolute extrema of f(x) on [a,b: find all critical points, evaluate f(x) for all critical points and endpoints, the highest value of f(x) is the maximum; the lowest value of f(x) is the. Given a scenario involving a choice of some number, use calculus to find out the best option.