4 3 2 1 0 1 4 2 3 4 5 6 6 6 5 4 5 24 3 2 1 0 1 4

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Unformatted text preview: 2 3 4 5 6 6 5 1.4 3 2 1 0 -1 -4 -2 -3 -4 -5 -6 6 -6 -5 -4 5 2.4 3 2 1 0 -1 -4 -2 -3 -4 -5 -6 -6 -5 -4 keywords: concavity, graph 005 (part 1 of 1) 10 points 2 4 Which of the following is the graph of f (x) = x2 ? x2 - 16 Dashed lines indicate asymptotes. 4 2 -2 -2 -4 -3 -2 -1 0 1 2 3 4 5 6 4 2 -4 -2 -2 -4 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 2 4 2 4 4 2 -2 -2 -4 -3 -2 -1 0 1 2 3 4 5 6 Explanation: Since f (0) = 0, the y-intercept of the graph is at the origin, automatically eliminating one of the graphs. As the concavity changes at the origin also, the graph cannot have a local maximum or local minimum at the origin, thus eliminating two more of the graphs. to distinguish between these we look at the concavity of the graphs on (-, -4) and on (4, ). Hence only 2 4 6 5 3. 4 3 2 1 0 -1 -2 -3 -4 -5 -6 Garcia, Ilse Homework 11 Due: Nov 6 2007, 3:00 am Inst: Fonken cor6 5 6.4 3 2 1 0 -1 -2 -3 -4 -5 -6 5 4 2 -4 -2 -2 -4 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 4 2 -4 -2 -2 -4 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 2 4 2 4 rect 6 5 4.4 3 2 1 0...
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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 at Austin.

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