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The greatest integer function shown below, is defined so that it produces the gretest integer__ or equal to x. f(x)=[ [x] ] Answers.
In this section we will look for the largest or the smallest values of a function. on its domain. Such points are called global extrema. If f(a) is the largest. value then it satis es the inequality f(x) f(a) for all x in the domain of. f: We call f(a) the global or absolute maximum value of f and the. point (a;f(a)) the global maximum point. Similarly, if f(a) is the smallest. value of f(x) then f(a) f(x) for all x in the domain of f: We call f(a) the absolute or global minimum value of f and the point (a;f(a)) the. global minimum. The process of nding the global extrema is called optimization.