Definition of minimum and maximum values, Mathematics

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Definition

1.   We say that f(x) consist an absolute (or global) maximum at x = c if f ( x ) ≤ f (c ) for every x in the domain we are working on.

2.  We say that at x = c , f(x) consist a relative (or local) maximum if f ( x ) ≤ f (c ) for every x in  some open interval approximately x = c .

3.   We say that f(x) consist an absolute (or global) minimum at x = c if f (x) ≥ f (c) for every x in the domain we are working on.

4.  We say that f(x) consists a relative (or local) minimum at x = c if f ( x ) ≥ f (c ) for every x in some open interval approximately x = c .

 


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