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 constants a, b, and k affect the total monthly gross sales of the album?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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answer f and g with a full solution and support the answer analytically

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
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
constants a, b, and k affect the total monthly gross sales of the album?
Transcribed Image Text: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 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 constants a, b, and k affect the total monthly gross sales of the album?
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