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FinalExamF11

# FinalExamF11 - Math 105 Final Exam Name Instructor Section...

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Math 105 / Final (December 15, 2011) page 2 1 . [9 points] The graph of a function h ( x ) is shown on the right. Below are the graphs of several trans- formations of h ( x ). For each of these graphs, write the letter of the one function from the list on the right of the page whose graph is shown. ( Clearly write the capital letter of your choice on the answer blank provided.) No work or explanation is required. ( - 3 , - 2) (1 , - 2) (4 , 4) ( - 5 , 2) (5 , - 3) y = h ( x ) x y a . [3 points] ( - 2 , - 1) (2 , - 1) (5 , 5) ( - 4 , 3) (6 , - 2) x y Answer: b . [3 points] (5 , 4) (3 , - 4) ( - 1 , - 4) ( - 4 , 8) ( - 5 , - 6) x y Answer: c . [3 points] ( - 1 . 5 , - 2) ( - 0 . 5 , 2) (1 . 5 , 2) (3 , - 4) (3 . 5 , 3) x y Answer: Answer Choices A. h ( x + 1) + 1 B. h ( x - 1) + 1 C. h ( x + 1) - 1 D. h ( x - 1) - 1 E. h ( - x ) + 1 F. h ( - x ) - 1 G. - h ( x ) + 1 H. - h ( x ) - 1 I. - h ( x + 1) J. - h ( x - 1) K. h ( - x ) L. - h ( - x ) M. 2 h ( x ) N. 2 h ( - x ) O. - 2 h ( x ) P. 1 2 h ( x ) Q. 1 2 h ( - x ) R. - 1 2 h ( x ) - 1 S. 1 2 h ( x - 1) T. h ( - 2( x - 1)) U. - h (2 x - 1) V. - h (2( x - 1)) W. - h ( 1 2 x - 1) X. h ( - 1 2 ( x + 1)) Y. - h ( 1 2 ( x - 1)) Z. None of these
Math 105 / Final (December 15, 2011) page 3 2 . [10 points] A movie theater is considering selling discount tickets for opening night of a new vampire movie. The management estimates that they will sell 1100 tickets if they set the price of tickets at \$7 each. However, if they charge \$10 for each ticket, the theater will only sell 800 tickets. Let T ( p ) be the number of tickets the theater will sell if the price of each ticket is p dollars. Assume that T ( p ) is a linear function.

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