(6) 8. A function f has domain (-00,00) and a critical number of x 0. The 2nd derivative f"(x) = 3(x² -1) (2 +4) Show the calculus tests (function and value of x tested) and fill in the blanks. If something doesn't exist, write "none". Find: a) open intervals on which the graph is concave upward concave downward b) type of local extrema c) the x-value(s) where inflection point(s) occur

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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3(x²-1)
(2² +4)
(6) 8. A function f has domain (-,00) and a critical number of x 0. The 2nd derivative f"(x) =
Show the calculus tests (function and value of x tested) and fill in the blanks.
If something doesn't exist, write "none". Find:
a) open intervals on which the graph is
concave upward
concave downward
b) type of local extrema
c) the x-value(s) where inflection point(s) occur
Transcribed Image Text:3(x²-1) (2² +4) (6) 8. A function f has domain (-,00) and a critical number of x 0. The 2nd derivative f"(x) = Show the calculus tests (function and value of x tested) and fill in the blanks. If something doesn't exist, write "none". Find: a) open intervals on which the graph is concave upward concave downward b) type of local extrema c) the x-value(s) where inflection point(s) occur
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