For the followings problems, consider a function that is twice differentiable. This means that his differentiable and its derivative, h', is also differentiable. Some values of h'(x) are given in the table below: x -8-6-4-2 0 24 6 8 h'(x) 3 7 0 -3 -5 -4 0 -2 6 Determine all intervals in which h must have an inflection point. (-8,-4) (-4,0) (0,4) (2,6) (4,8)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 16CR
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For the followings problems, consider a function h that is twice differentiable. This means that his
differentiable and its derivative, h', is also differentiable. Some values of h' (x) are given in the table
below:
Determine all intervals in which h must have an inflection point.
(-8,-4)
□ (-4,0)
(0,4)
(2,6)
(4,8)
(-8,-6)
(-4,-2)
(-2, 0)
(2,4)
(6,8)
x
-8 -6 -4 -2 0 2 4
h'(x) 3 7 0 -3 -5 -4 0
Determine all intervals which contain a number c satisfying h" (c) = 2.
0-2
6 8
-2 6
Suppose that h" (x) < 0 for a <-8, and h(-8)= 7. Select all numbers that could be reasonable values of h(-10).
0-1
00
01
02
Transcribed Image Text:For the followings problems, consider a function h that is twice differentiable. This means that his differentiable and its derivative, h', is also differentiable. Some values of h' (x) are given in the table below: Determine all intervals in which h must have an inflection point. (-8,-4) □ (-4,0) (0,4) (2,6) (4,8) (-8,-6) (-4,-2) (-2, 0) (2,4) (6,8) x -8 -6 -4 -2 0 2 4 h'(x) 3 7 0 -3 -5 -4 0 Determine all intervals which contain a number c satisfying h" (c) = 2. 0-2 6 8 -2 6 Suppose that h" (x) < 0 for a <-8, and h(-8)= 7. Select all numbers that could be reasonable values of h(-10). 0-1 00 01 02
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,