Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 - 32x² + 7 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) [-4,0] U[4,00) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (-∞, – 4) U [0,4] (b) Find the local minimum and maximum values of f. local minimum value -249 local maximum value 7 (c) Find the inflection points. 4 235 (х, у) %3D( 3 ) (smaller x-value) 4 235 (x, y) = ( 3 (larger x-value) Find the interval on which f is concave up. (Enter your answer using interval notation.) 4 4 ,00 Find the interval on which f is concave down.(Enter your answer using interval notation.) 4 4 V3' V3

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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Consider the equation below. (If an answer does not exist, enter DNE.)
f(x) = x4 - 32x² + 7
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
[-4,0] U[4,00)
Find the interval on which f is decreasing. (Enter your answer using interval notation.)
(-∞, – 4) U [0,4]
(b) Find the local minimum and maximum values of f.
local minimum value
-249
local maximum value
7
(c) Find the inflection points.
4
235
(х, у) %3D(
3
) (smaller x-value)
235
(x, y) = (
3
(larger x-value)
Find the interval on which f is concave up. (Enter your answer using interval notation.)
4
4
,00
Find the interval on which f is concave down.(Enter your answer using interval notation.)
4
4
Transcribed Image Text:Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 - 32x² + 7 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) [-4,0] U[4,00) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (-∞, – 4) U [0,4] (b) Find the local minimum and maximum values of f. local minimum value -249 local maximum value 7 (c) Find the inflection points. 4 235 (х, у) %3D( 3 ) (smaller x-value) 235 (x, y) = ( 3 (larger x-value) Find the interval on which f is concave up. (Enter your answer using interval notation.) 4 4 ,00 Find the interval on which f is concave down.(Enter your answer using interval notation.) 4 4
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