Lect23 - Maximum and Minimum Values y x 92.131 Ronald Brent...

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92.131 Lecture 23 1 of 12 Ronald Brent © 2009 All rights reserved. x y Maximum and Minimum Values
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92.131 Lecture 23 2 of 12 Ronald Brent © 2009 All rights reserved. Definitions: A function f has an absolute maximum at c if ) ( ) ( x f c f for all x in D , where D is the domain of f . The number ) ( c f is called the maximum value of f on D . (Also called the global maximum. ) A function f has an absolute minimum at c if ) ( ) ( x f c f for all x in D . The number ) ( c f is called the minimum value of f on D . (Also called the global minimum. ) 0123456789 1 0 x 0 1 2 3 4 5 6 7 y
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92.131 Lecture 23 3 of 12 Ronald Brent © 2009 All rights reserved. A function f has an relative maximum at c if ) ( ) ( x f c f for all x near c . The number ) ( c f is called the maximum value of f on D . (Also called the local maximum. ) A function f has an relative minimum at c if ) ( ) ( x f c f for all x near c . The number ) ( c f is called the minimum value of f on D . (Also called the local minimum. ) 0123456789 1 0 x 0 1 2 3 4 5 6 7 y
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92.131 Lecture 23 4 of 12 Ronald Brent © 2009 All rights reserved. Terminology : Points vs. Values: c is the point where something happens, the input; ) ( c f is the value, or the output. Extrema: Max’s and min’s are also called extrema.
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This note was uploaded on 02/13/2012 for the course MATH 92.131 taught by Professor Staff during the Fall '09 term at UMass Lowell.

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Lect23 - Maximum and Minimum Values y x 92.131 Ronald Brent...

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