Sketch a graph of a function f, defined on (-∞, ∞0), with thefollowing properties.lim f(x) = f(-2) = −4x→-2+• lim f(x) = f(1)x-1●lim f(x) = -2f has an absolute minimum at x = -2.• f'(4) = 0f"(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)•[ f(x) dx < 0-8

Given function f(x) is defined on -∞, ∞ ∙ limx→-2+ fx =f-2 =-4 It means right hand limit is equal…

Answered: Sketch a graph of a function f, defined…

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 (-∞, ∞), with the following properties. lim f(x) = f(-2) = −4 *+-2+ • lim f(x) = f(1) x-1 • lim f(x) = -2 8118