Use the given information to sketch the graph of f. Domain: All real x, except x = -4 and x=4. f(-6)= -3; f(0) = 0; f(6)=3. f'(x) <0 on (-∞, -4) and (4, oo), f'(x) >0 on (-4,4). f''(x) <0 on (-∞, -4) and (-4, 0); f''(x) > 0 on (0, 4) and (4, 00). Vertical asymptotes: x= -4 and x=4; Horizontal asymptote: y = 0.
Use the given information to sketch the graph of f. Domain: All real x, except x = -4 and x=4. f(-6)= -3; f(0) = 0; f(6)=3. f'(x) <0 on (-∞, -4) and (4, oo), f'(x) >0 on (-4,4). f''(x) <0 on (-∞, -4) and (-4, 0); f''(x) > 0 on (0, 4) and (4, 00). Vertical asymptotes: x= -4 and x=4; Horizontal asymptote: y = 0.
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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Use the given information to sketch the graph of f. Domain: All real x, except x = -4 and x = 4. f(-6)= -3; f(0) = 0; f(6) = 3. f'(x) 0 on (-4, 4). f''(x) 0 on (0, 4) and (4, ∞). Vertical asymptotes: x= -4 and x = 4; Horizontal asymptote: y = 0.
Transcribed Image Text:Use the given information to sketch the graph of f.
Domain: All real x, except x = -4 and x = 4
f(-6)= -3; f(0) = 0; f(6)=3
f'(x) <0 on (-∞, - 4) and (4, oo), f'(x) > 0 on (-4, 4).
f''(x) <0 on (-∞, -4) and (-4, 0); f''(x) > 0 on (0, 4) and (4, 00).
Vertical asymptotes: x= -4 and x=4; Horizontal asymptote: y = 0.
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