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12. a. Find the open intervals on which the function is increasing and those on which it is decreasing. b. Identify the function's local extreme values, if any, saying where they occur. g(x) x18-x2 a. On what open interval(s), if any, is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function g is increasing on the open interval(s) (Type your answer in interval notation. Type an exact answer in simplified form. Use a comma to separate answers as needed.) B. The function is never increasing. On what open interval(s), if any, is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function g is decreasing on the open interval(s) (Type your answer in interval notation. Type an exact answer in simplified form. Use a comma to separate answers as needed.) O B. The function is never decreasing. b. 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 two values of x. In increasing order of x-value, the maximum values are g and (Type exact answers in simplified form.) B. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are g and g (Type exact answers in simplified form.) C. The function has a local maximum value at one value of x. The maximum value is g = (Type exact answers in simplified form.) 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 one value of x. The minimum value is (Type exact answers in simplified form.) B. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are g (Type exact answers in simplified form.) and g C. The function has a local minimum value at three values of x. In increasing order of x-value, the minimum values are g and (Type exact answers in simplified form.) D. There are no local minima.

12. a. Find the open intervals on which the function is increasing and those on which it is decreasing. b. Identify the function's local extreme values, if any, saying where they occur. g(x) x18-x2 a. On what open interval(s), if any, is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function g is increasing on the open interval(s) (Type your answer in interval notation. Type an exact answer in simplified form. Use a comma to separate answers as needed.) B. The function is never increasing. On what open interval(s), if any, is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function g is decreasing on the open interval(s) (Type your answer in interval notation. Type an exact answer in simplified form. Use a comma to separate answers as needed.) O B. The function is never decreasing. b. 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 two values of x. In increasing order of x-value, the maximum values are g and (Type exact answers in simplified form.) B. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are g and g (Type exact answers in simplified form.) C. The function has a local maximum value at one value of x. The maximum value is g = (Type exact answers in simplified form.) 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 one value of x. The minimum value is (Type exact answers in simplified form.) B. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are g (Type exact answers in simplified form.) and g C. The function has a local minimum value at three values of x. In increasing order of x-value, the minimum values are g and (Type exact answers in simplified form.) D. There are no local minima.

Trigonometry (MindTap Course List)
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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12. a. Find the open intervals on which the function is increasing and those on which it is decreasing. b. Identify the function's local extreme values, if any, saying where they occur. g(x) x18-x2 a. On what open interval(s), if any, is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function g is increasing on the open interval(s) (Type your answer in interval notation. Type an exact answer in simplified form. Use a comma to separate answers as needed.) B. The function is never increasing. On what open interval(s), if any, is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function g is decreasing on the open interval(s) (Type your answer in interval notation. Type an exact answer in simplified form. Use a comma to separate answers as needed.) O B. The function is never decreasing. b. 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 two values of x. In increasing order of x-value, the maximum values are g and (Type exact answers in simplified form.) B. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are g and g (Type exact answers in simplified form.) C. The function has a local maximum value at one value of x. The maximum value is g = (Type exact answers in simplified form.) 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 one value of x. The minimum value is (Type exact answers in simplified form.) B. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are g (Type exact answers in simplified form.) and g C. The function has a local minimum value at three values of x. In increasing order of x-value, the minimum values are g and (Type exact answers in simplified form.) D. There are no local minima.
Transcribed Image Text:12. a. Find the open intervals on which the function is increasing and those on which it is decreasing. b. Identify the function's local extreme values, if any, saying where they occur. g(x) x18-x2 a. On what open interval(s), if any, is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function g is increasing on the open interval(s) (Type your answer in interval notation. Type an exact answer in simplified form. Use a comma to separate answers as needed.) B. The function is never increasing. On what open interval(s), if any, is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function g is decreasing on the open interval(s) (Type your answer in interval notation. Type an exact answer in simplified form. Use a comma to separate answers as needed.) O B. The function is never decreasing. b. 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 two values of x. In increasing order of x-value, the maximum values are g and (Type exact answers in simplified form.) B. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are g and g (Type exact answers in simplified form.) C. The function has a local maximum value at one value of x. The maximum value is g = (Type exact answers in simplified form.) 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 one value of x. The minimum value is (Type exact answers in simplified form.) B. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are g (Type exact answers in simplified form.) and g C. The function has a local minimum value at three values of x. In increasing order of x-value, the minimum values are g and (Type exact answers in simplified form.) D. There are no local minima.
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