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152E3-F08

152E3-F08 - MA 15200 1 Exam 3A Fall 2008 Find the value of...

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MA 15200 Exam 3A Fall 2008 1 1) Find the value of the constant of proportionality. c is directly proportional to a and inversely proportional to b . If a = 6 and b = 4, then c = 9 4 . 3 32 27 8 2 3 3 4 3 2 A B C D E k k k k k = = = = = 2) Given the function ) 2 ( find , 1 2 ) ( + - = x f x x x f . 1 4 2 ) 2 ( E 1 4 2 ) 2 ( D 2 1 2 ) 2 ( C 1 2 ) 2 ( B 1 2 2 ) 2 ( A + + = + - + = + + - = + + = + + = + x x x f x x x f x x x f x x x f x x x f 3) Given the functions 2 5 ( ) 2 and ( ) 1 x f x x g x x = - = - , find the value of ( (1) f g . ( ( 29 ( 29 ( 29 ( 29 1 4 A (1) 0 B (1) 1 C (1) D (1) 1 E (1) has no real value. f g f g f g f g f g = = - = - =

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MA 15200 Exam 3A Fall 2008 2 4) Find the domain and range of the function graphed below. ] 5 , 0 [ : Range ], 5 , 5 [ : Domain E ] 22 , 3 [ : Range ], 5 , 0 [ : Domain D ] 22 , 0 [ : Range ], 5 , 5 [ : Domain C ] 22 , 3 [ : Range ], 5 , 5 [ : Domain B ] 5 , 0 [ : Range ], 22 , 3 [ : Domain A - - - - - - 5) If ). ( find , 5 3 ) ( 1 x f x x f - + = 1 1 1 1 1 A ( ) 3 5 5 B ( ) 3 5 C ( ) 3 1 D ( ) 3 5 5 E ( ) 3 f x x x f x x f x f x x x f x - - - - - = - - + = - = = - = 6) Which of the following statements is false? ( 29 1 3 A The graph of 3 would be an increasing function. B The graph of 3 would have a -intercept at (0,1).
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