20. 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? х3 4x2 + 16х, 0 Sx<00 h(x) 3 a. Find each local maximum, if any. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The function has a local maximum value at one value of x. The maximum value is h( (Type integers or simplified fractions.) B. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are h and h (Type integers or simplified fractions.) Ос. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are h (Type integers or simplified fractions.) and h 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 three values of x. In increasing order of x-value, the minimum values are h[ and h (Type integers or simplified fractions.) В. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are h and h (Type integers or simplified fractions.) С. The function has a local minimum value at one value of x. The minimum value is h (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 [-8,8] by [-40,40] viewing window. A. В. С. 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. A. 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.) B. The function has an absolute maximum value of at x at x and an absolute minimum value of (Type integers or simplified fractions. Use a comma to separate answers as needed.) Ос. at x The function has an absolute maximum value of but no absolute minimum. (Type integers or simplified fractions. Use a comma to separate answers as needed.) D. There are local extreme values but there are no absolute extreme values. O E. There are no local or absolute extreme values.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
ChapterA: Appendix: Review Topics
SectionA.3: Introduction To Functions
Problem 29PS: Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week....
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20.
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?
х3
4x2 + 16х, 0 Sx<00
h(x) 3
a. Find each local maximum, if any. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A.
The function has a local maximum value at one value of x. The maximum value is h(
(Type integers or simplified fractions.)
B. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are h
and h
(Type integers or simplified fractions.)
Ос.
The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are h
(Type integers or simplified fractions.)
and h
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 three values of x. In increasing order of x-value, the minimum values are h[
and h
(Type integers or simplified fractions.)
В.
The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are h
and h
(Type integers or simplified fractions.)
С.
The function has a local minimum value at one value of x. The minimum value is h
(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 [-8,8] by [-40,40] viewing window.
A.
В.
С.
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.
A. 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.)
B. The function has an absolute maximum value of
at x
at x
and an absolute minimum value of
(Type integers or simplified fractions. Use a comma to separate answers as needed.)
Ос.
at x
The function has an absolute maximum value of
but no absolute minimum.
(Type integers or simplified fractions. Use a comma to separate answers as needed.)
D. There are local extreme values but there are no absolute extreme values.
O E. There are no local or absolute extreme values.
Transcribed Image Text:20. 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? х3 4x2 + 16х, 0 Sx<00 h(x) 3 a. Find each local maximum, if any. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The function has a local maximum value at one value of x. The maximum value is h( (Type integers or simplified fractions.) B. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are h and h (Type integers or simplified fractions.) Ос. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are h (Type integers or simplified fractions.) and h 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 three values of x. In increasing order of x-value, the minimum values are h[ and h (Type integers or simplified fractions.) В. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are h and h (Type integers or simplified fractions.) С. The function has a local minimum value at one value of x. The minimum value is h (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 [-8,8] by [-40,40] viewing window. A. В. С. 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. A. 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.) B. The function has an absolute maximum value of at x at x and an absolute minimum value of (Type integers or simplified fractions. Use a comma to separate answers as needed.) Ос. at x The function has an absolute maximum value of but no absolute minimum. (Type integers or simplified fractions. Use a comma to separate answers as needed.) 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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