Let g(x) = 2x² - 216x. Find the relative maximum and minimum values of g. Also find the intervals on which the graph of g is concave upward and those on which it is concave downward. Finally, sketch the graph of the function, following the directions above, and bring it to your discussion section the day this assignment is due. (Enter DNE in any unused answer blanks.) Relative maximum values, with the x-values in increasing order: 90 9( Relative minimum values, with the x-values in increasing order: gl 90 x)-[ *** x)- x)= x ) = The graph is concave upward on the following interval(s): 0 (-00,00) (-∞, a) O (-0, a) 0 (0,00) O [a,00) O (-∞, a) u (b, 00) O(-0,a] U [b, ∞) O(-, a) u (b, c) Ⓒ (a, b) u (c.) O (a, b) O [a, b] None of the above. x b= CH The graph is concave downward on the following interval(s): 0 (-00,00) d= f= h= 0 (-0,0) 0 (-0,0 O (d, 0) O [d, 00) 0 (-00, 0) U (1,00) 0 (-00, 0]u[1.00) 0 (-00, 0) u (f. h) 0 (d.nu (h,00) 0 (0,1) O [d.ŋ] O None of the above. symbolic formatting help

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
Section4.4: Derivatives Of Exponential Functions
Problem 36E
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please help on all parts of this problem. this is not a graded assignment, it is practice. please dont reject.

Let g(x) = 2x4 - 216x.
Find the relative maximum and minimum values of g. Also find the intervals on which the graph of g is concave upward and those on which it is concave downward. Finally, sketch the graph of the function, following the directions above, and bring it to your discussion section the day this assignment is due.
(Enter DNE in any unused answer blanks.)
Relative maximum values, with the x-values in increasing order:
gl
g(
x ) =
x ) =
Relative minimum values, with the x-values in increasing order:
x ) =
x ) =
g(
g(
The graph is concave upward on the following interval(s):
0 (-00,00)
O (-∞o, a)
O (-∞, a]
O (a,0⁰)
O [a, ∞o)
O (-∞o, a) u (b, ∞o)
O(-∞o, a] U [b, 00)
O (-∞o, a) u (b, c)
O (a, b) U (C, co)
O (a, b)
O [a, b]
O None of the above.
X
a =
b =
C =
The graph is concave downward on the following interval(s):
0 (-00,00)
O (-∞o, d)
O (-∞o, d]
O (d, co)
O [d, ∞o)
O (-∞o, d) U (f, ∞0)
O (-∞o, d] U [f, 00)
O (-∞o, d) U (f, h)
O (d, f) u (h, ∞o)
O (d, f)
O [d, f]
O None of the above.
d =
f =
h =
symbolic formatting help
Transcribed Image Text:Let g(x) = 2x4 - 216x. Find the relative maximum and minimum values of g. Also find the intervals on which the graph of g is concave upward and those on which it is concave downward. Finally, sketch the graph of the function, following the directions above, and bring it to your discussion section the day this assignment is due. (Enter DNE in any unused answer blanks.) Relative maximum values, with the x-values in increasing order: gl g( x ) = x ) = Relative minimum values, with the x-values in increasing order: x ) = x ) = g( g( The graph is concave upward on the following interval(s): 0 (-00,00) O (-∞o, a) O (-∞, a] O (a,0⁰) O [a, ∞o) O (-∞o, a) u (b, ∞o) O(-∞o, a] U [b, 00) O (-∞o, a) u (b, c) O (a, b) U (C, co) O (a, b) O [a, b] O None of the above. X a = b = C = The graph is concave downward on the following interval(s): 0 (-00,00) O (-∞o, d) O (-∞o, d] O (d, co) O [d, ∞o) O (-∞o, d) U (f, ∞0) O (-∞o, d] U [f, 00) O (-∞o, d) U (f, h) O (d, f) u (h, ∞o) O (d, f) O [d, f] O None of the above. d = f = h = symbolic formatting help
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