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.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76182990-f515-4e2d-a912-c792715fe4e5%2Fc396bdc3-6aac-46b6-b08c-1ecbae5b29a5%2Fcr2cas3m_processed.jpeg&w=3840&q=75)
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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