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Page 1 Advanced Math Final Exam - 2004 Name __________________ King, Normile, Oms, Shea, Williams Instructions: Please show all work. If no work is shown partial credit will not be given. Write you name on any scrap paper you use and number problems. Be sure to use Degrees and Radians mode appropriately for each problem! 1. Match each graph with the appropriate type of function. A. B. C. D. E. F. G. _____ y = A log B x + D _____ y = A ( x - h ) 2 + k _____ y = A tan( B ( x + c )) + D _____ y = A [ B ( x - C )] + D _____ y = A | x - C | + D _____ y = AB kX + D _____ y = A cos( B ( x + c )) + D

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Page 2 2. The graph below defines a function f. Determine the following: a. f (-3) b. f (2) c. The domain of f d. The range of f 4 2 -2 -4 -5 5 3. Let f ( x ) = 25 - x 2 , g ( x ) = 5 - x . Find the product f ( x ) g ( x ) and its domain. 4. Given f ( x ) = x 3 and g ( x ) = - 5 - 6 x , find f ( g ( x )) and its domain. a. ( - 5 - 6 x ) 3 , all real numbers b. ( - 5 - 6 x 3 ) 3 , x - 5 6 3 c. - 5 - 6 x x 3 , x 0 d. None of these.
Page 3 5. In a right triangle find m A to the nearest degree if C is a right angle and b =15 and c =17. 6. The graph of a function f is illustrated below. Which is the graph of the inverse function of f? 8 6 4 2 -2 -4 -6 -8 -10 -10 -5 5 10 A. 8 6 4 2 -2 -4 -6 -8 -10 -10 -5 5 10 B. 8 6 4 2 -2 -4 -6 -8 -10 -10 -5 5 10 C. 8 6 4 2 -2 -4 -6 -8 -10 -10 -5 5 10 D. 8 6 4 2 -4 -6 -8 -10 -10 -5 5 10

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Page 4 7. An opinion poll is to have a margin of error (95% bounds) of ± 3%.
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