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Asked Oct 28, 2019
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17.
a. Identify the function's local extreme values in the given domain, and say where they occur.
b. Graph the function over the given domain. Which of the extreme values, if any, are absolute?
f(x) (2x 2)2, - oo <xs3
a. Find each local maximum, if any. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. The function has a local maximum value at one value of x. The maximum value is f
(Type integers or simplified fractions.)
O B. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are f
(Type integers or simplified fractions.)
and f
O C. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are f
and f
(Type integers or simplified fractions.)
O D. There are no local maxima.
Find each local minimum, if any. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are f (
(Type integers or simplified fractions.)
and f
B. The function has a local minimum value at three values of x. In increasing order of x-value, the minimum values are f
and
(Type integers or simplified fractions.)
O C. The function has a local minimum value at one value of x. The minimum value is f
(Type integers or simplified fractions.)
O D. There are no local minima.
b. Choose the correct graph of the function below. Each graph is shown in a [-10,10] by [-20,20] viewing window.
Ос.
O A.
ОВ.
D.
Which of the extreme values, if any, are absolute? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice
OA. The function has an absolute maximum value of
but no absolute minimum.
at x=
(Type integers or simplified fractions. Use a comma to separate answers as needed.)
O B. The function has no absolute maximum, but there is an absolute minimum value of
at x =
(Type integers or simplified fractions. Use a comma to separate answers as needed.)
O C. The function has an absolute maximum value of
at x
at x
and an absolute minimum of
(Type integers or simplified fractions. Use a comma to separate answers as needed.)
O D. There are local extreme values but there are no absolute extreme values.
O E. There are no local or absolute extreme values.
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17. a. Identify the function's local extreme values in the given domain, and say where they occur. b. Graph the function over the given domain. Which of the extreme values, if any, are absolute? f(x) (2x 2)2, - oo <xs3 a. Find each local maximum, if any. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The function has a local maximum value at one value of x. The maximum value is f (Type integers or simplified fractions.) O B. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are f (Type integers or simplified fractions.) and f O C. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are f and f (Type integers or simplified fractions.) O D. There are no local maxima. Find each local minimum, if any. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are f ( (Type integers or simplified fractions.) and f B. The function has a local minimum value at three values of x. In increasing order of x-value, the minimum values are f and (Type integers or simplified fractions.) O C. The function has a local minimum value at one value of x. The minimum value is f (Type integers or simplified fractions.) O D. There are no local minima. b. Choose the correct graph of the function below. Each graph is shown in a [-10,10] by [-20,20] viewing window. Ос. O A. ОВ. D. Which of the extreme values, if any, are absolute? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice OA. The function has an absolute maximum value of but no absolute minimum. at x= (Type integers or simplified fractions. Use a comma to separate answers as needed.) O B. The function has no absolute maximum, but there is an absolute minimum value of at x = (Type integers or simplified fractions. Use a comma to separate answers as needed.) O C. The function has an absolute maximum value of at x at x and an absolute minimum of (Type integers or simplified fractions. Use a comma to separate answers as needed.) O D. There are local extreme values but there are no absolute extreme values. O E. There are no local or absolute extreme values.

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Expert Answer

Step 1

Given function is

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f(x)(2x-2)

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Step 2

For increasing and decreasing of function, derivate the above function

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Pa)--2j (2r-2) f(x) d 2(2x-2)(2-2) =2(2x-2)-2 8(x-1

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Step 3

Critical points are the points where function is define...

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8(x-1)=0

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Calculus