DA 4: Maximum and Minimum Values Summary Box DA4.1 Model 1: Stage 11 of 2012 Tour...

 

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DA 4: Maximum and Minimum Values Summary Box DA4.1 Model 1: Stage 11 of 2012 Tour de France For a function f on a domain D, there is a... global maximum at e if f(c)2 f(x) for all x in D global minimum at e if f(e)s f(x) for all x in D local maximum at e if f(c)2 f(x) for x near e local minimum at e if f(c)s f(x) for x near e 1215 10 km www.lete.h x= distance traveled in km; f(x) = clevation in meters (m). For example, f(40)= 2000 Construct Your Understanding Questions (to do in class) 1. Where on the Stage 11 course (at what value of x) is the. a. absolute (also called global) maximum value of f(x) found? b. absolute (also called global) minimum value of f(x) found? 2. Complete Row 2. In Row 3 write local max or local min where appropriate, then circle the values of f that correspond to the global max and the global min. 45 1920 40 61.5 85.5 105 121.5 138 140 f(x) 345 2000 453 1665 f(x) is a... 3. On the graph in Model 1. a. Use a v to mark one local minimum that is not listed in the previous question. b. Use a A to mark one local maximum that is not listed in the previous question. 345m ALBERTVILLE R 00 Z - 153m SAINT-ETIENNE-DE-CUINES 2 OEm Col de la Ouix de fert 163m Col du Mola 80m SANTJAN DE MAURIENNE 705m LA TOUSSUIRE LES SYBELLES DA 4: Maximum and Minimum Values Summary Box DA4.1 Model 1: Stage 11 of 2012 Tour de France For a function f on a domain D, there is a... global maximum at e if f(c)2 f(x) for all x in D global minimum at e if f(e)s f(x) for all x in D local maximum at e if f(c)2 f(x) for x near e local minimum at e if f(c)s f(x) for x near e 1215 10 km www.lete.h x= distance traveled in km; f(x) = clevation in meters (m). For example, f(40)= 2000 Construct Your Understanding Questions (to do in class) 1. Where on the Stage 11 course (at what value of x) is the. a. absolute (also called global) maximum value of f(x) found? b. absolute (also called global) minimum value of f(x) found? 2. Complete Row 2. In Row 3 write local max or local min where appropriate, then circle the values of f that correspond to the global max and the global min. 45 1920 40 61.5 85.5 105 121.5 138 140 f(x) 345 2000 453 1665 f(x) is a... 3. On the graph in Model 1. a. Use a v to mark one local minimum that is not listed in the previous question. b. Use a A to mark one local maximum that is not listed in the previous question. 345m ALBERTVILLE R 00 Z - 153m SAINT-ETIENNE-DE-CUINES 2 OEm Col de la Ouix de fert 163m Col du Mola 80m SANTJAN DE MAURIENNE 705m LA TOUSSUIRE LES SYBELLES

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