Consider the function g(x) = 5 - 2x - x2² on the interval (-4, 2). Which of the following statements must be true? I. g has an absolute maximum value on the interval. II. g has a relative maximum on the interval. III. g has no absolute minimum on the interval. ○ II only ○ I only ○ I and II ○ I, II, and III

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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Consider the function g(x) = 5 - 2x - x2 on the interval (-4, 2). Which of the following statements must be true?
○ II only
○ I only
I. g has an absolute maximum value on the interval.
II. g has a relative maximum on the interval.
III. g has no absolute minimum on the interval.
○ I and II
○ I, II, and III
Transcribed Image Text:Consider the function g(x) = 5 - 2x - x2 on the interval (-4, 2). Which of the following statements must be true? ○ II only ○ I only I. g has an absolute maximum value on the interval. II. g has a relative maximum on the interval. III. g has no absolute minimum on the interval. ○ I and II ○ I, II, and III
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