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

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Math 105 — Final Exam December 15, 2011 Name: Instructor: Section: 1. Do not open this exam until you are told to do so. 2. This exam has 11 pages including this cover. There are 10 problems. Note that the problems are not of equal difficulty, so you may want to skip over and return to a problem on which you are stuck. 3. Do not separate the pages of this exam. If they do become separated, write your name on every page and point this out to your instructor when you hand in the exam. 4. Please read the instructions for each individual problem carefully. One of the skills being tested on this exam is your ability to interpret mathematical questions, so instructors will not answer questions about exam problems during the exam. 5. Show an appropriate amount of work (including appropriate explanation) for each problem, so that graders can see not only your answer but how you obtained it. Include units in your answer where that is appropriate. 6. You may use any calculator except a TI-92 (or other calculator with a full alphanumeric keypad). However, you must show work for any calculation which we have learned how to do in this course. 7. If you use graphs or tables to find an answer, be sure to include an explanation and sketch of the graph, and to write out the entries of the table that you use. 8. Turn off all cell phones and pagers , and remove all headphones. 9. You must use the methods learned in this course to solve all problems. Problem Points Score 1 9 2 10 3 11 4 12 5 10 6 12 7 8 8 12 9 7 10 9 Total 100
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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
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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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