Consider a function f which is continuous on (-∞, 1) and (1, ∞), has a vertical asymptote = 1, has a horizontal asymptote y = 0, and for which the following conditions hold: f(-2) = -1, f(-1) = -2, ƒ(0) = 0, ƒ(2) = 2 f'(x) > 0 on (-1,1) f'(x) <0 on (-∞, -1), (1, ∞) f'(x) = 0 at x = -1 f"(x) > 0 on (-2, 1), (1, ∞) on (-∞, -2) f"(x) <0 on ( f"(x) = 0 at x = -2. Sketch the graph of f(x).

Consider a function f which is continuous on (-∞, 1) and (1, ∞), has a vertical asymptote = 1, has a horizontal asymptote y = 0, and for which the following conditions hold: f(-2) = -1, f(-1) = -2, ƒ(0) = 0, ƒ(2) = 2 f'(x) > 0 on (-1,1) f'(x) <0 on (-∞, -1), (1, ∞) f'(x) = 0 at x = -1 f"(x) > 0 on (-2, 1), (1, ∞) on (-∞, -2) f"(x) <0 on ( f"(x) = 0 at x = -2. Sketch the graph of f(x).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 15T

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