Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occurfix)=x -2x-+4:I-3,3]Select the corect choice below and, if necessary, fill in the answer box to complete your choice.OA. The absolute maximum value isat x=(Use a comma to separate answers as needed.)O B. There is no absolute maximum.

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Asked Nov 11, 2019
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Please assist me in finding the absolute maximum and minimum values. 

Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur
fix)=x -2x-+4:I-3,3]
Select the corect choice below and, if necessary, fill in the answer box to complete your choice.
OA. The absolute maximum value is
at x=
(Use a comma to separate answers as needed.)
O B. There is no absolute maximum.
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Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur fix)=x -2x-+4:I-3,3] Select the corect choice below and, if necessary, fill in the answer box to complete your choice. OA. The absolute maximum value is at x= (Use a comma to separate answers as needed.) O B. There is no absolute maximum.

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Expert Answer

Step 1

Given function is,

f(x) x-2x2 +4,[-3,3]
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f(x) x-2x2 +4,[-3,3]

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Step 2

First find the first derivative f’(x) and let f’(x)=0

f(x) 4x-4x
4x3-4x 0
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f(x) 4x-4x 4x3-4x 0

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Step 3

On solving,

x = 0, -1, 1...

At x 0, f(0) 0-2(0)+4
f(0)=4
At x -, -)(1)'-2(-1) +4f(-1)=3
At x 1, f() (1)-2(1)+4(1)3
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At x 0, f(0) 0-2(0)+4 f(0)=4 At x -, -)(1)'-2(-1) +4f(-1)=3 At x 1, f() (1)-2(1)+4(1)3

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Tagged in

Math

Calculus

Derivative