Let g(x) = x V 49 – x2. g'(x) = A + Bx2 where (49 - x2)c A = B = C = Dx3 + Ex (49 – X2)F' g"(x) = where D = E = F = Find the relative maximum and relative minimum values of g. Also find all inflection points of the graph, the interval(s) on which the graph of g is concave downward. Enter the values of the endpoints in the appropriate blanks and DNE in any empty answer blanks. Finally, sketch the graph of the function, following the directions above, and bring it to your discussion section the day this assignment is due. (Hint: Note the domain of the function as you work the problem.) Relative maximum values, with the x-values in increasing order: Relative minimum values, with the x-values in increasing order: The graph has inflection point(s) at: (x-values in increasing order) The graph is concave downward on the following interval(s): O (-0, 0) O (-0, d) O (-0, d] O (d, ) O [d, )
Let g(x) = x V 49 – x2. g'(x) = A + Bx2 where (49 - x2)c A = B = C = Dx3 + Ex (49 – X2)F' g"(x) = where D = E = F = Find the relative maximum and relative minimum values of g. Also find all inflection points of the graph, the interval(s) on which the graph of g is concave downward. Enter the values of the endpoints in the appropriate blanks and DNE in any empty answer blanks. Finally, sketch the graph of the function, following the directions above, and bring it to your discussion section the day this assignment is due. (Hint: Note the domain of the function as you work the problem.) Relative maximum values, with the x-values in increasing order: Relative minimum values, with the x-values in increasing order: The graph has inflection point(s) at: (x-values in increasing order) The graph is concave downward on the following interval(s): O (-0, 0) O (-0, d) O (-0, d] O (d, ) O [d, )
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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Question
![Let g(x) = x V 49 – x².
g'(x) =
A + Bx2
where
(49 – x2)c
A =
B =
C =
Dx3 + Ex
(49 – x²yF'
g"(x) =
where
D =
E =
F =
Find the relative maximum and relative minimum values of g. Also find all inflection points of the graph, the interval(s) on which the graph of g is concave downward. Enter the values of the
endpoints in the appropriate blanks and DNE in any empty answer blanks. Finally, sketch the graph of the function, following the directions above, and bring it to your discussion section the day this
assignment is due. (Hint: Note the domain of the function as you work the problem.)
Relative maximum values, with the x-values in increasing order:
Relative minimum values, with the x-values in increasing order:
The graph has inflection point(s) at: (x-values in increasing order)
The graph is concave downward on the following interval(s):
O (-0, 0)
O (-*, d)
O (-0, d]
O (d, o)
O [d, )](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F757c98f8-0b48-4084-be10-525a24343004%2Fac32ed3c-523b-4009-8ba6-f2d8e82e71d0%2Feuir9uk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let g(x) = x V 49 – x².
g'(x) =
A + Bx2
where
(49 – x2)c
A =
B =
C =
Dx3 + Ex
(49 – x²yF'
g"(x) =
where
D =
E =
F =
Find the relative maximum and relative minimum values of g. Also find all inflection points of the graph, the interval(s) on which the graph of g is concave downward. Enter the values of the
endpoints in the appropriate blanks and DNE in any empty answer blanks. Finally, sketch the graph of the function, following the directions above, and bring it to your discussion section the day this
assignment is due. (Hint: Note the domain of the function as you work the problem.)
Relative maximum values, with the x-values in increasing order:
Relative minimum values, with the x-values in increasing order:
The graph has inflection point(s) at: (x-values in increasing order)
The graph is concave downward on the following interval(s):
O (-0, 0)
O (-*, d)
O (-0, d]
O (d, o)
O [d, )
![Relative minimum values, with the x-values in increasing order:
The graph has inflection point(s) at: (x-values in increasing order)
The graph is concave downward on the following interval(s):
O (-∞, ∞)
O (-∞, d)
(-0, d]
O (d, )
O [d, o)
O (-∞, d) U (f, ∞)
O (-∞, d] U [f, ∞)
O.(-∞, d) U (, h)
O (d, f) U (h, 0)
O (d, f)
O [d, f]
O None of the Above.
d =
f =
h =
symbolic formatting help](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F757c98f8-0b48-4084-be10-525a24343004%2Fac32ed3c-523b-4009-8ba6-f2d8e82e71d0%2Fyxc8vju_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Relative minimum values, with the x-values in increasing order:
The graph has inflection point(s) at: (x-values in increasing order)
The graph is concave downward on the following interval(s):
O (-∞, ∞)
O (-∞, d)
(-0, d]
O (d, )
O [d, o)
O (-∞, d) U (f, ∞)
O (-∞, d] U [f, ∞)
O.(-∞, d) U (, h)
O (d, f) U (h, 0)
O (d, f)
O [d, f]
O None of the Above.
d =
f =
h =
symbolic formatting help
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