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true: Invent a function f(x) (using a graph) such that all of the following are • f(-2) = -3, f(1) = -1, and f(3) = 0; • f'(x) < 0 on the open intervals (-∞, -2) and (1,3); • f'(x) = 0 at x = -2,3; f'(x) > 0 on the open intervals (-2, 1) and (3, 0); . f(x) is not differentiable at 1 ●

true: Invent a function f(x) (using a graph) such that all of the following are • f(-2) = -3, f(1) = -1, and f(3) = 0; • f'(x) < 0 on the open intervals (-∞, -2) and (1,3); • f'(x) = 0 at x = -2,3; f'(x) > 0 on the open intervals (-2, 1) and (3, 0); . f(x) is not differentiable at 1 ●

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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5) true: Invent a function f(x) (using a graph) such that all of the following are ● f(-2)=-3, f(1) = -1, and f(3) = 0; f'(x) <0 on the open intervals (-∞, -2) and (1,3); • f'(x) = 0 at x = -2,3; f'(x) > 0 on the open intervals (-2, 1) and (3, 0); f(x) is not differentiable at 1
Transcribed Image Text:5) true: Invent a function f(x) (using a graph) such that all of the following are ● f(-2)=-3, f(1) = -1, and f(3) = 0; f'(x) <0 on the open intervals (-∞, -2) and (1,3); • f'(x) = 0 at x = -2,3; f'(x) > 0 on the open intervals (-2, 1) and (3, 0); f(x) is not differentiable at 1
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