Unformatted text preview: Garcia, Ilse Homework 11 Due: Nov 6 2007, 3:00 am Inst: Fonken This print-out should have 12 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 Explanation: 1 A. False: the graph changes concavity at the point x = -1 in the interval (-2, 1); in fact, f (x) > 0 on (-2, -1), while f (x) < 0 on (-1, 1). B. True: f has a local minimum at x = -2 and a local maximum at x = 1; the graph of f does have a horizontal tangent at (-3, 1), but this is an inflection point. C. True: f (x) = 0 at x = -3, 1, while f (x) does not exist at x = -2; in addition, the graph of f has a vertical tangent at x = -1. keywords: True/False critical point, local extreme, 4 2 002 (part 1 of 1) 10 points -4 -2 2 In drawing the graph which of the following properties are satisfied? A. B. C. f (x) > 0 on (-2, 1), f has exactly 2 local extrema, f has exactly 4 critical points....
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This note was uploaded on 01/16/2009 for the course M 408k taught by Professor Schultz during the Spring '08 term at University of Texas.
- Spring '08
- Differential Calculus