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Sketch the graph of a differentiable function y f(x) through the point (-2,2) if f'(-2)=0 and satisfies the conditions given belc (a) f'(x) > 0 for x< -2 and f'(x) < 0 for x> - 2 (b) f'(x)<0 for x< -2 and f'(x)> 0 for x> - 2 (c) f'(x)> 0 for x# - 2 (d) f'(x)<0 for x# - 2

Sketch the graph of a differentiable function y f(x) through the point (-2,2) if f'(-2)=0 and satisfies the conditions given belc (a) f'(x) > 0 for x< -2 and f'(x) < 0 for x> - 2 (b) f'(x)<0 for x< -2 and f'(x)> 0 for x> - 2 (c) f'(x)> 0 for x# - 2 (d) f'(x)<0 for x# - 2

Calculus: Early Transcendentals
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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Please sketch the graphs for the following conditions

**Problem Statement:** Sketch the graph of a differentiable function \( y = f(x) \) through the point \((-2, 2)\) if \( f'(-2) = 0 \) and satisfies the conditions given below: (a) \( f'(x) > 0 \) for \( x < -2 \) and \( f'(x) < 0 \) for \( x > -2 \) (b) \( f'(x) < 0 \) for \( x < -2 \) and \( f'(x) > 0 \) for \( x > -2 \) (c) \( f'(x) > 0 \) for \( x \neq -2 \) (d) \( f'(x) < 0 \) for \( x \neq -2 \)
Transcribed Image Text:**Problem Statement:** Sketch the graph of a differentiable function \( y = f(x) \) through the point \((-2, 2)\) if \( f'(-2) = 0 \) and satisfies the conditions given below: (a) \( f'(x) > 0 \) for \( x < -2 \) and \( f'(x) < 0 \) for \( x > -2 \) (b) \( f'(x) < 0 \) for \( x < -2 \) and \( f'(x) > 0 \) for \( x > -2 \) (c) \( f'(x) > 0 \) for \( x \neq -2 \) (d) \( f'(x) < 0 \) for \( x \neq -2 \)
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