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answer d,e,f with complete solution

answer d,e,f with complete solution

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 44PPS
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answer d,e,f with complete solution

II. Suppose that the total worldwide sales for a song album are approximated by the function: 100x3 S(x) = x3 + 6 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) 100x3 S(x) x3 + k E. What will happen to lim S(x) if k is replaced by any value greater than 6? Any value less than 6? Discuss x 00 how the number k affects the limit of S(x) as x gets very large. Support your answer graphically to show the variation. F. What will happen to lim S(x) if 100 is replaced by any constant? Support your answer analytically. Consider the function (for question G) ax3 S(x) = bx3 + k G. What will happen to lim S(x) if a, b, and k are any constant? Support your answer analytically. How do the x 00 constants a, b, and k affect the total monthly gross sales of the album?
Transcribed Image Text:II. Suppose that the total worldwide sales for a song album are approximated by the function: 100x3 S(x) = x3 + 6 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) 100x3 S(x) x3 + k E. What will happen to lim S(x) if k is replaced by any value greater than 6? Any value less than 6? Discuss x 00 how the number k affects the limit of S(x) as x gets very large. Support your answer graphically to show the variation. F. What will happen to lim S(x) if 100 is replaced by any constant? Support your answer analytically. Consider the function (for question G) ax3 S(x) = bx3 + k G. What will happen to lim S(x) if a, b, and k are any constant? Support your answer analytically. How do the x 00 constants a, b, and k affect the total monthly gross sales of the album?
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