freeresp1 - MATH 1141 Common Final Examination Free...

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MATH 1141 Common Final Examination Free Response Section Spring, 1996 This exam is divided into two parts. These pages contain Part II which consists of 6 free response questions. Please show all of your work on the problem. We will not grade loose paper. If you are basing your answer on a graph on your calculator, sketch a picture of your graph on your sheet and be sure to label your window. Make sure that your name appears on each page. At the end of the examination you MUST hand in this test booklet and all scratch paper. PROBLEM 1 2 3 4 5 6 GRADE FREE RESPONSE SCORE: Name: Student No: Instructor: Section No:
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MATH 1141 FINAL EXAM Name: 1. Let f ( x ) be a continuous function on the interval [ - 5 , 5]. The derivatives of f ( x ) have the properties indicated in the following table. x [ - 5 , - 1) - 1 ( - 1 , 0) 0 (0 , 2) 2 (2 , 5] f ± ( x ) > 0 0 < 0 < 0 < 0 0 > 0 f ±± ( x ) < 0 0 < 0 0 > 0 > 0 > 0 (a) On what intervals is f ( x ) increasing and on what intervals is it decreas- ing? (b) On what intervals is the graph of
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freeresp1 - MATH 1141 Common Final Examination Free...

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