This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: mao (tm23477) – Hw 10 – gualdani – (57180) 1 This printout should have 17 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. 001 10.0 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 4 critical points, B. f ′′ ( x ) > 0 on ( − 2 , 1), C. f has exactly 2 local extrema. 1. all of them 2. A and C only 3. B only 4. C only 5. none of them 6. A only 7. B and C only 8. A and B only 002 10.0 points Which function could have 2 π π as its graph on [ 0 , 2 π ]? 1. f ( x ) = sin x 2. f ( x ) = sin x 2 − cos x 3. f ( x ) = − sin x 4. f ( x ) = sin x cos x − 2 5. f ( x ) = − sin x 2 + cos x 6. f ( x ) = sin x 2 + cos x 003 10.0 points A function f is continuous and twice differentiable for all x negationslash = 1. Its derivatives have the properties (i) f ′ ( − 1) = 0, (ii) f ′′ > 0 on ( −∞ , − 2) uniondisplay (1 , ∞ ), (iii) f ′′ < 0 on ( − 2 , 1). If the lines x = 1 and y = 2 are asymptotes of the graph of f , which of the following could be the graph of f ? mao (tm23477) – Hw 10 – gualdani – (57180) 2 1....
View
Full
Document
This note was uploaded on 05/12/2010 for the course 408K 408K taught by Professor Guldani during the Spring '10 term at University of Texas.
 Spring '10
 Guldani

Click to edit the document details