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Let f(x) be a differentiable function for -3

Let f(x) be a differentiable function for -3

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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Question
Let f(x) be a differentiable function for -3sxs1. Over this interval f(x) has exactly one critical point at x = 0 where f(0) = 4. We also know that %3D f(-3) = -1 and f(1) = 2. Which of the following must be true? Select one: The global maximum value of f(x) over the interval is 4. There is a global maximum, but we cannot determine what it is based on the information given. There is no global maximum over this interval. The global minimum value of f(x) over the interval is -3.
Transcribed Image Text:Let f(x) be a differentiable function for -3sxs1. Over this interval f(x) has exactly one critical point at x = 0 where f(0) = 4. We also know that %3D f(-3) = -1 and f(1) = 2. Which of the following must be true? Select one: The global maximum value of f(x) over the interval is 4. There is a global maximum, but we cannot determine what it is based on the information given. There is no global maximum over this interval. The global minimum value of f(x) over the interval is -3.
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