Let g(x)=x√100-² A+ B² (100-³² 0(x) A- BM C- 0'(x)= D= E- Dx² + Ex (100-y where 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 bl 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.) reasing

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Tab
X 6. MATIX MATI X
с
Let g(x)=x√100-².
9(x)=A+R²
(100-³
A=
TH
8-
BM
C=
0²(x)=x²³ + Fx
(100-xy
0.
E-
F=
d
webassign.net/web/Student/Assignment-Responses/last?courseKey-WA-production-1295057&dep-32638387&elSBN-9781337827584
where
, where
Relative maximum values, with the x-values in increasing order:
d
1)-1
Relative minimum values, with the x-values in increasing order:
d
The graph has inflection point(s) at: (x-values in increasing order)
(
1)
(
The graph is concave downward on the following interval(s):
0 (-0, 0)
0 (-0, d)
0 (-0, d)
O(d, ∞)
O [d, ∞)
0 (0) U (,0)
O(-∞, U)
d-
f=
h=
0 (-2, 0)U (1, A)
O (d. nu (h, ∞)
162°F
Rain
0 (d.n)
0 (d.n
O None of the Above.
Esc
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. Fin
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.)
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Transcribed Image Text:Tab X 6. MATIX MATI X с Let g(x)=x√100-². 9(x)=A+R² (100-³ A= TH 8- BM C= 0²(x)=x²³ + Fx (100-xy 0. E- F= d webassign.net/web/Student/Assignment-Responses/last?courseKey-WA-production-1295057&dep-32638387&elSBN-9781337827584 where , where Relative maximum values, with the x-values in increasing order: d 1)-1 Relative minimum values, with the x-values in increasing order: d The graph has inflection point(s) at: (x-values in increasing order) ( 1) ( The graph is concave downward on the following interval(s): 0 (-0, 0) 0 (-0, d) 0 (-0, d) O(d, ∞) O [d, ∞) 0 (0) U (,0) O(-∞, U) d- f= h= 0 (-2, 0)U (1, A) O (d. nu (h, ∞) 162°F Rain 0 (d.n) 0 (d.n O None of the Above. Esc 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. Fin 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.) tymbolic formatting help CALC X ! 1 Q A FT MATI X 2 S 4x W #mw 3 E D 140 x F3 D H Q Search $ 4 F4 140 x G For XG The x G The X R F All S 85 10 % T G * < F6 < 10 6 Y H * F7 & 7 PrtScn U P J - * For X 8 Home G Fort F9 ( 9 x Rate X K Endan F10 O ) 0 L PgUp F11 CHE X P + Pgon12 : Q☆ + 1 1 1 S D 1
Expert Solution
Step 1: Introduce to the given function

The given function is

g open parentheses x close parentheses equals x square root of 100 minus x squared end root

A square root function y equals square root of x is defined only for xgreater or equal than0.

So, the given function is defined for

100 minus x squared greater or equal than 0
open parentheses 10 close parentheses squared minus x squared greater or equal than 0
open parentheses 10 minus x close parentheses open parentheses 10 plus x close parentheses greater or equal than 0 space space space space space space space space space space space space space open curly brackets a squared minus b squared equals open parentheses a minus b close parentheses open parentheses a plus b close parentheses close curly brackets
open parentheses 10 minus x close parentheses greater or equal than 0 space and space open parentheses 10 plus x close parentheses greater or equal than 0 space space space or space space space open parentheses 10 minus x close parentheses less or equal than 0 space space and space open parentheses 10 plus x close parentheses less or equal than 0
x less or equal than 10 space and space x greater or equal than negative 10 space space space space space space space space space space space space space space space space or space space space space x greater or equal than 10 space space and space x less or equal than negative 10
minus 10 less or equal than x less or equal than 10
x element of open square brackets negative 10 comma 10 close square brackets

Thus,

domain of given function g(x) is

[-10, 10]

steps

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