II. Suppose that the total worldwide sales for a song album are approximated by the function: 150r S(포) : 13 +4 where, S(x) is the measured in millions of dollars; and x is the number of months since the album is released A. Use a graphing tool to show the graph of S(x) in the context of the situation. B. Construct a table to show the total number of sales for the first two years since the album's release. C. What will be the album's gross sales in the long run? Support your answer analytically using the concept of limits. D. Based on A, B, and C, discuss the trend of the gross sales of the album. Consider the function (for questions E and F) 150z S(r) =. E. What will happen to lim S(z) if k is replaced by any value greater than 4? Any value less than 4? Discuss how the number k affects the limit of S(r) as r gets very large. Support your answer graphically to show the variation. F. What will happen to lim S(r) if 150 is replaced by any constant? Support your answer analytically. Consider the function (for question G) ar S(r) = br3 + k G. What will happen to lim S(r) if a, b, and k are any constant? Support your answer analytically. How do the constants a, b, and k affect the total monthly gross sales of the album?

II. Suppose that the total worldwide sales for a song album are approximated by the function: 150r S(포) : 13 +4 where, S(x) is the measured in millions of dollars; and x is the number of months since the album is released A. Use a graphing tool to show the graph of S(x) in the context of the situation. B. Construct a table to show the total number of sales for the first two years since the album's release. C. What will be the album's gross sales in the long run? Support your answer analytically using the concept of limits. D. Based on A, B, and C, discuss the trend of the gross sales of the album. Consider the function (for questions E and F) 150z S(r) =. E. What will happen to lim S(z) if k is replaced by any value greater than 4? Any value less than 4? Discuss how the number k affects the limit of S(r) as r gets very large. Support your answer graphically to show the variation. F. What will happen to lim S(r) if 150 is replaced by any constant? Support your answer analytically. Consider the function (for question G) ar S(r) = br3 + k G. What will happen to lim S(r) if a, b, and k are any constant? Support your answer analytically. How do the constants a, b, and k affect the total monthly gross sales of the album?

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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