Question

Explain Maxima And Minima Of A Function

Answer 1

In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function

Answer 2

Answer:

If is continuous function, and is a closed and bounded interval, then contains both an absolute maximum and an absolute minimum on . Proof: Let be a closed and bounded interval and be a continuous function. Then by the Boundedness Theorem, is bounded on .