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Homework Problems

# Homework Problems - Winchell Daniel Homework 11 Due Nov 7...

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Winchell, Daniel – Homework 11 – Due: Nov 7 2006, 3:00 am – Inst: Karakhanyan 1 This print-out should have 19 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 1) 10 points If f is a continuous function on ( - 5 , 3) whose graph is 2 - 2 - 4 2 4 which of the following properties are satisfied? A. f has exactly 1 local maximum, B. f has exactly 2 inflection points, C. f 0 ( x ) < 0 on ( - 1 , 1). 1. none of them 2. A and C only 3. C only 4. A and B only 5. all of them 6. A only 7. B and C only 8. B only 002 (part 1 of 1) 10 points If f is the function whose graph is given by 2 4 6 2 4 6 which of the following properties does f have? A. local minimum at x = 4 , B. differentiable at x = 2 . 1. A only 2. both of them 3. neither of them 4. B only 003 (part 1 of 1) 10 points If f is a continuous function on ( - 4 , 4) whose graph is 2 4 - 2 - 4 2 4

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Winchell, Daniel – Homework 11 – Due: Nov 7 2006, 3:00 am – Inst: Karakhanyan 2 which one of the following properties is NOT satisfied? 1. f 0 ( x ) < 0 on (2 , 4) 2. f 00 ( x ) > 0 on ( - 4 , - 2) 3. f has exactly 3 critical points 4. f 00 ( x ) < 0 on (0 , 2) 5. f has exactly 1 local maximum 6. (0 , 1) is an inflection point 004 (part 1 of 1) 10 points If f is a function on ( - 4 , 4) having exactly three critical points and the sign of f 0 , f 00 are given in - 2 0 2 f 0 > 0 f 0 < 0 f 0 < 0 f 0 < 0 f 00 < 0 f 00 > 0 f 00 < 0 decide which of the following could be the graph of f . 1. 2 4 - 2 - 4 2 4 - 2 - 4 2.
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