2. Sketch the graph of one function g that is continuous on [-4, 4] and has all of the following properties: (a) g(-4) = 1 = g(4) (b) g(-2) = 3 = maximum value of g on [-4, 4] (c) g(2) = -1 = minimum value of g on [-4, 4]. (d) g'(0) = 0 (so 0 is a critical number of g), but g(0) is not an extreme value of g.
2. Sketch the graph of one function g that is continuous on [-4, 4] and has all of the following properties: (a) g(-4) = 1 = g(4) (b) g(-2) = 3 = maximum value of g on [-4, 4] (c) g(2) = -1 = minimum value of g on [-4, 4]. (d) g'(0) = 0 (so 0 is a critical number of g), but g(0) is not an extreme value of g.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 8CC: What does it mean to say that f(4) is a local maximum valueof f ?
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