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1. The graph of a twice differentiable function g is shown below. Which of the following inequalities must be true? (A) f(0) < f'(0) < f"(0) (B) f(0) < f"(0) < f'(0) (C) f'(0) < f(0) < f"(0) (D) f'(0) < f"(0) < f(0) Justification: f(0) is because: f'(0) is because: f"(0) is because: 2. The graph of a twice differentiable function fis shown below. Which of the following inequalities must be true? (A) f"(3) < f'(3) < f(3) 4 3 (B) f(3) < f"(3) < f'(3) 2 (C) f(3) < f'(3) < f"(3) (D) f'(3) < f"(3) < f(3) -1 1 2 3 4 -1 -2

1. The graph of a twice differentiable function g is shown below. Which of the following inequalities must be true? (A) f(0) < f'(0) < f"(0) (B) f(0) < f"(0) < f'(0) (C) f'(0) < f(0) < f"(0) (D) f'(0) < f"(0) < f(0) Justification: f(0) is because: f'(0) is because: f"(0) is because: 2. The graph of a twice differentiable function fis shown below. Which of the following inequalities must be true? (A) f"(3) < f'(3) < f(3) 4 3 (B) f(3) < f"(3) < f'(3) 2 (C) f(3) < f'(3) < f"(3) (D) f'(3) < f"(3) < f(3) -1 1 2 3 4 -1 -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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CFU 4.7: Graphic Analysis with Inequalities 1. The graph of a twice differentiable function g is shown below. Which of the following inequalities must be true? (A) f(0) < f'(0) < f"(0) (B) f(0) < f"(0) < f'(0) (C) f'(0) < f(0) < f"(0) (D) f'(0) < f"(0) < f (0) Justification: f(0) is because: f'(0) is because: f"(0) is because: 2. The graph of a twice differentiable function f is shown below. Which of the following inequalities must be true? (A) f"(3) < f'(3) < f(3) -4 (B) f(3) < f"(3) < f'(3) 2 (C) f(3) < f'(3) < f"(3) 1- (D) f'(3) < f"(3) < f(3) -1 2 3 4 5 -1- -2
Transcribed Image Text:CFU 4.7: Graphic Analysis with Inequalities 1. The graph of a twice differentiable function g is shown below. Which of the following inequalities must be true? (A) f(0) < f'(0) < f"(0) (B) f(0) < f"(0) < f'(0) (C) f'(0) < f(0) < f"(0) (D) f'(0) < f"(0) < f (0) Justification: f(0) is because: f'(0) is because: f"(0) is because: 2. The graph of a twice differentiable function f is shown below. Which of the following inequalities must be true? (A) f"(3) < f'(3) < f(3) -4 (B) f(3) < f"(3) < f'(3) 2 (C) f(3) < f'(3) < f"(3) 1- (D) f'(3) < f"(3) < f(3) -1 2 3 4 5 -1- -2
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