4. Sketch the graph of a function that is continuous and differentiable everywhere and also satisfies these conditions: f(0) = 0 f'(x) > 0 on (-∞, -2) and (4,00) f'(x) <0 on (-2,4) f"(x) <0 on (-∞0, 1) f"(x) > 0 on (1,00)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4.
Sketch the graph of a function that is continuous and differentiable everywhere and also
satisfies these conditions:
f(0) = 0
f'(x) > 0 on (-∞, -2) and (4,00)
f'(x) <0 on (-2, 4)
f"(x) <0 on (-∞0, 1)
f"(x) > 0 on (1,00)
Transcribed Image Text:4. Sketch the graph of a function that is continuous and differentiable everywhere and also satisfies these conditions: f(0) = 0 f'(x) > 0 on (-∞, -2) and (4,00) f'(x) <0 on (-2, 4) f"(x) <0 on (-∞0, 1) f"(x) > 0 on (1,00)
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