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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 48CR
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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.
Transcribed Image Text: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.
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