Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 - 8x² + 2 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) (-2,0) U (2,00) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (-00, – 2) U (0,2) (b) Find the local maximum and minimum values of f. local minimum value -14 local maximum value 2 (c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.) 2 62 (х, у) %3 53' 9. 2 62 (х, у) %3D 53' 9 Find the interval on which f is concave up. (Enter your answer using interval notation.) (-- ) * 2 53 53,0 Find the interval on which f is concave down.(Enter your answer using interval notation.) 2 2 53 53

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
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Consider the equation below. (If an answer does not exist, enter DNE.)
f(x) = x4 – 8x2 + 2
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
(-2,0) U (2,00)
Find the interval on which f is decreasing. (Enter your answer using interval notation.)
- 2)U (0,2)
(b) Find the local maximum and minimum values of f.
local minimum value
-14
local maximum value
2
(c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.)
62
* )
(х, у)
53'
9.
)
2
62
(х, у)
53'
9.
Find the interval on which f is concave up. (Enter your answer using interval notation.)
2
2
53
53'
Find the interval on which f is concave down.(Enter your answer using interval notation.)
2
53' 53
Transcribed Image Text:Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 – 8x2 + 2 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) (-2,0) U (2,00) Find the interval on which f is decreasing. (Enter your answer using interval notation.) - 2)U (0,2) (b) Find the local maximum and minimum values of f. local minimum value -14 local maximum value 2 (c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.) 62 * ) (х, у) 53' 9. ) 2 62 (х, у) 53' 9. Find the interval on which f is concave up. (Enter your answer using interval notation.) 2 2 53 53' Find the interval on which f is concave down.(Enter your answer using interval notation.) 2 53' 53
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