MAC2233-AN3

MAC2233-AN3 - MAC2233 Survey of Calculus Practice Test #3...

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Survey of Calculus MAC2233 Practice Test #3 1) For the function graphed to the right, identify: a) The Critical Numbers------------ 0 , 2 b) Relative Extrema------------------ Rel. Max. - (0,3) Rel. Min. - (2,1) c) Points of Inflection---------------- (1,2) d) Increasing Intervals-------------- ( ,0 ) (2 ,) - ¥¨¥ e) Decreasing Intervals-------------- (0,2) f) Concave Upward Intervals------ (1 ¥ g) Concave Downward Intervals-- ( ,1) 2) Use the following information to graph the function f(x): f ¢ (x): - | + - + - - | + | + + | 2 4 6 8 10 12 14 16 18 20 f ¢ ¢ (x): + + - - - - + | + | + | + | 2 4 6 8 10 12 14 16 18 20 6 li m () x fx =-¥ x y 0 2 4 6 8 10 12 14 16 18 13 10 Und. 10 13 9 1 20
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3) For the function, 3 x 15 x 6 x f(x) 2 3 + - - = , identify: a) The Critical Numbers -------- -1 , 5 b) Relative Extrema ------------- Relative Maximum (-1,11) Relative Minimum (5,97) c) Points of Inflection ------------ (2 , 43) - d) Increasing Intervals ---------- ( , 1 ) (5 ,) -¨¥ e) Decreasing Intervals --------- ( 1,5) - f) Concave Upward -------------- ¥ g) Concave Downward ----------- ( ,2) Increasing/Decreasing Intervals Concavity Upwards/Downwards 2 f '(x ) 3 x 12 x 1 50 3( x 1)( x 5 )0 Critical.Values; x 1; x5 Intervals; ( , 1); ( 1,5);(5 f ' ( 2 ) 21;f'(0 ) 15;f'(6 ) 21 Increasing;Decreasing:Increasing f ( 1 ) 11;f(5 ) 97 rel.max ( 1,11);rel.min(5 , 97) =- -= + -= = -= - - = = - = =- -- f ''(x ) 6 x 1 20 x2 Intervals; ( ,2);(2 f ''(0 ) 12;f''(4 ) 12
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This note was uploaded on 07/05/2010 for the course MATH 2240 taught by Professor Crespo during the Spring '09 term at SPSU.

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MAC2233-AN3 - MAC2233 Survey of Calculus Practice Test #3...

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