Consider the equation below. (If an answer does not exist, enter DNE.) f(x)=x -32x²+6 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) [-4,0],[4,00) Find the interval on which fis decreasing. (Enter your answer using interval notation.) [0,4](-0,-4] (b) Find the local minimum and maximum values of f. local minimum value -252 X local maximum value 4 20 (c) Find the inflection points. (x, y) = (smaller x-value) (larger x-value) (x, y) = ( Find the interval on which fis concave up. (Enter your answer using interval notation.) Find the interval on which fis concave down. (Enter your answer using interval notation.) Need Help? Read It Watch It 78°F Show My Work (optional) Mostly sunny Q Search

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.5: Functions
Problem 9ECP
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Consider the equation below. (If an answer does not exist, enter DNE.)
f(x)=x -32x²+6
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
[-4,0],[4,00)
Find the interval on which fis decreasing. (Enter your answer using interval notation.)
[0,4](-0,-4]
(b) Find the local minimum and maximum values of f.
local minimum value
-252
X
local maximum value
4
20
(c) Find the inflection points.
(x, y) =
(smaller x-value)
(larger x-value)
(x, y) = (
Find the interval on which fis concave up. (Enter your answer using interval notation.)
Find the interval on which fis concave down. (Enter your answer using interval notation.)
Need Help?
Read It
Watch It
78°F
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Mostly sunny
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Transcribed Image Text:Consider the equation below. (If an answer does not exist, enter DNE.) f(x)=x -32x²+6 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) [-4,0],[4,00) Find the interval on which fis decreasing. (Enter your answer using interval notation.) [0,4](-0,-4] (b) Find the local minimum and maximum values of f. local minimum value -252 X local maximum value 4 20 (c) Find the inflection points. (x, y) = (smaller x-value) (larger x-value) (x, y) = ( Find the interval on which fis concave up. (Enter your answer using interval notation.) Find the interval on which fis concave down. (Enter your answer using interval notation.) Need Help? Read It Watch It 78°F Show My Work (optional) Mostly sunny Q Search
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