181-exam2 - Math 181 Exam2 Show your work. April 3, 2007...

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April 3, 2007 Name:________________________ Show your work. I. (6pts)Find any vertical and horizontal asymptotes for 2 2 4 16 6 5 ) ( x x x x f - + - = , if exists. Vertical Asymptotes:______________ Horizontal Asymptotes:_______________ II. (5 pts) Based on the given sign diagram, determine if each statement is true or false. ' ' f ++++Und----------------------------0++++ ' f ++++Und++++++ 0------------------------ 1 3 5 __1. ) ( x f y = is increasing if 1 < x . __2. ) ( x f y = is concave up if 1 < x . __3. ) ( x f y = has an inflection point at 3 = x . __4. ) ( x f y = has a local max at 3 = x . __5. ) ( x f y = may have a horizontal asymptote. III. (4 points) Based on the given graph of ) ( ' x f y = , determine if each statement is true or false. -2 -1 0 1 2 3 __1. If 2 1 < < x , ) ( x f y = is increasing. __2. If 2 1 < < x , ) ( x f y = is concave up. __3. ) ( x f y = has an inflection point at 2 = x . __4.
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This note was uploaded on 04/04/2008 for the course CALC 181 taught by Professor Choi during the Spring '08 term at Shippensburg University of Pennsylvania.

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181-exam2 - Math 181 Exam2 Show your work. April 3, 2007...

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