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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 79E
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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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