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4.x2 with f'(x) = x(x+8)(x - 2) (x+ 2)3 8(7x – 4) (x +2)4 f(x) = and f"(x) = %3D (x + 2)2 a. Find the domain of f and the intercepts of the graph of f. b. Using limits, show that r = -2 and y = x - 8 are asymptotes of the graph of f. c. Identify the critical numbers of f and the possible points of inflection of the graph of f.

4.x2 with f'(x) = x(x+8)(x - 2) (x+ 2)3 8(7x – 4) (x +2)4 f(x) = and f"(x) = %3D (x + 2)2 a. Find the domain of f and the intercepts of the graph of f. b. Using limits, show that r = -2 and y = x - 8 are asymptotes of the graph of f. c. Identify the critical numbers of f and the possible points of inflection of the graph of f.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4x2 with f'(x) = x(x+ 8)(x – 2) (x + 2)3 8(7x – 4) f(x) = and f"(x)= (x + 2)2 (x +2)4 a. Find the domain of f and the intercepts of the graph of f. b. Using limits, show that r = -2 and y = x – 8 are asymptotes of the graph of f. c. Identify the critical numbers of f and the possible points of inflection of the graph of f.
Transcribed Image Text:4x2 with f'(x) = x(x+ 8)(x – 2) (x + 2)3 8(7x – 4) f(x) = and f"(x)= (x + 2)2 (x +2)4 a. Find the domain of f and the intercepts of the graph of f. b. Using limits, show that r = -2 and y = x – 8 are asymptotes of the graph of f. c. Identify the critical numbers of f and the possible points of inflection of the graph of f.
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