Consider the equation below. f(x) = x4 − 8x2 + 8 (a) Find the interval on which f is increasing. (Enter your answer in interval notation.)     Find the interval on which f is decreasing. (Enter your answer in interval notation.)     (b) Find the local minimum and maximum values of f. local minimum       local maximum       (c) Find the inflection points. (x, y) =          (smaller x-value) (x, y) =          (larger x-value)Find the interval on which f is concave up. (Enter your answer in interval notation.)     Find the interval on which f is concave down. (Enter your answer in interval notation.)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.5: Functions
Problem 9ECP
Question

Consider the equation below.

f(x) = x4 − 8x2 + 8
(a) Find the interval on which f is increasing. (Enter your answer in interval notation.)
 
 


Find the interval on which f is decreasing. (Enter your answer in interval notation.)
 
 
(b) Find the local minimum and maximum values of f.
local minimum      
local maximum      

(c) Find the inflection points.
(x, y) = 
 
 
 
 
(smaller x-value)
(x, y) = 
 
 
 
 
(larger x-value)

Find the interval on which f is concave up. (Enter your answer in interval notation.)
 
 


Find the interval on which f is concave down. (Enter your answer in interval notation.)
 
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