Select the graph which satisfies all of the given conditions. Justify your answer in terms of derivatives and concavity information below. You should explain why the graph you chose is correct as opposed to a solution by eliminating options. Specifically, your explanation should be a guide for how to construct the appropriate graph given only the information below and not the answer choices. f′(−2)= f′(3)=0 Increasing on (−2,3)∪(3,∞) Decreasing on (−∞,−2) f′′(−1/3)=f′′(3)=0 Concave upward on (−∞,−13)∪(3,∞) Concave downward on (−1/3,3)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 49PFA
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Select the graph which satisfies all of the given conditions. Justify your answer in terms of derivatives and concavity information below. You should explain why the graph you chose is correct as opposed to a solution by eliminating options. Specifically, your explanation should be a guide for how to construct the appropriate graph given only the information below and not the answer choices.

 

f′(−2)=  f′(3)=0   

 

 

Increasing on (−2,3)∪(3,∞)

 

Decreasing on (−∞,−2)

 

 

 

f′′(−1/3)=f′′(3)=0

 

 

Concave upward on (−∞,−13)∪(3,∞)

 

Concave downward on (−1/3,3)

 

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