Keywords graph rational function asymptote increasing

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Unformatted text preview: al function, asymptote, increasing, decreasing 006 (part 1 of 1) 10 points Which of the following is the graph of f (x) = x2 x -9 if the dashed lines indicate asymptotes? 6 5 4 1. 3 2 1 0 -1 -4 -2 -3 -4 -5 -6 6 -6 -5 -4 5 4 2. 3 2 1 0 -1 -4 -2 -3 -4 -5 -6 -6 -5 -4 4 2 -2 -2 -4 -3 -2 -1 0 1 2 3 4 5 6 2 4 6 5 4 4 3. 3 2 2 1 0 -1 -4 -2 2 4 -2 -2 -3 -4 -4 -5 -6 6 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 5 4 4 4. 3 2 2 1 0 -1 -4 -2 2 4 -2 -2 -3 -4 -4 -5 -6 6 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 5 4 4 5. correct 3 2 2 1 0 -1 -4 -2 2 4 -2 -2 -3 -4 -4 -5 -6 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 6 Explanation: When f (x) = x2 x -9 4 2 -2 -2 -4 -3 -2 -1 0 1 2 3 4 5 6 the graph of f will have vertical asymptotes at x = 3 and x = -3 as indicated by the dashed vertical lines. In addition the graph will pass through the origin. On the other hand, f (x) = - x2 + 9 < 0 (x2 - 9)2 2 4 and so the graph must also be decreasing on any interval on which f is defined. Consequently, the only possible graph for f is 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 Garcia, Ilse Homework 11 Due: Nov 6 2007, 3:00 am Inst: Fonken 2. 4 2 -4 -2 -2 -4 -6 -5 -4 -3 -2 -1 0 1...
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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.

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