The graph of gʻ(x), the derivative of a function g(x) is pictured below on the closed interval [-9,12]. gʻ(x) has relative extreme values at x=-1 and x=2. Use the graph to answer the following questions. On what interval(s) of x is the graph of g(x) concave up? Justify your reasoning. y =g' (x) 4 +++, -8 -10 -6 -4 4 6 8 10 12

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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The graph of gʻ(x), the derivative of a function g(x) is pictured below on the closed interval [-9,12]. gʻ(x) has relative extreme values at x=-1 and
x=2. Use the graph to answer the following questions.
On what interval(s) of x is the graph of g(x) concave up? Justify your reasoning.
6.
y = g' (x)
+
-10
-8
-6
-4
4
8.
10
12
-6-
++H
4-
Transcribed Image Text:The graph of gʻ(x), the derivative of a function g(x) is pictured below on the closed interval [-9,12]. gʻ(x) has relative extreme values at x=-1 and x=2. Use the graph to answer the following questions. On what interval(s) of x is the graph of g(x) concave up? Justify your reasoning. 6. y = g' (x) + -10 -8 -6 -4 4 8. 10 12 -6- ++H 4-
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at what value(s) of x does the graph of g(x) have relative minimum(s)? justify your reasoning

 

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on what intervak of x is the graoh is g(x) increasing? justify your reasoning

 

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