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Sketch a graph of a function f, defined on (-∞, oo), with the following properties. lim f(x) = f(-2) = -4 2--2¹ • lim f(x) = f(1) • lim f(x) = -2 8118 of has an absolute minimum at x = -2. • f'(4) 0 f" (x) <0 on (-4,-2) and (1,7) f"(x) > 0 on (-∞, -4) and (-2,1) f'(x) > 0 on (-∞, -2).(-2, 1) and (1,4), ● • (² f(x) dx < 0

Sketch a graph of a function f, defined on (-∞, oo), with the following properties. lim f(x) = f(-2) = -4 2--2¹ • lim f(x) = f(1) • lim f(x) = -2 8118 of has an absolute minimum at x = -2. • f'(4) 0 f" (x) <0 on (-4,-2) and (1,7) f"(x) > 0 on (-∞, -4) and (-2,1) f'(x) > 0 on (-∞, -2).(-2, 1) and (1,4), ● • (² f(x) dx < 0

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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Sketch a graph of a function f. defined on (-∞0, ∞o), with the following properties. • lim f(x) = f(-2) = -4 2--2¹ • lim f(x) + f(1) 2-1 • lim f(x) = -2 818 f has an absolute minimum at a = -2. • f'(4) = 0 f" (a) <0 on (-4,-2) and (1,7) f"(x) > 0 on (-∞, -4) and (-2, 1) • f'(x) > 0 on (-∞, -2). (-2, 1) and (1,4) •f(x) da <0
Transcribed Image Text:Sketch a graph of a function f. defined on (-∞0, ∞o), with the following properties. • lim f(x) = f(-2) = -4 2--2¹ • lim f(x) + f(1) 2-1 • lim f(x) = -2 818 f has an absolute minimum at a = -2. • f'(4) = 0 f" (a) <0 on (-4,-2) and (1,7) f"(x) > 0 on (-∞, -4) and (-2, 1) • f'(x) > 0 on (-∞, -2). (-2, 1) and (1,4) •f(x) da <0
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