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is Priya Comparing two functions: f(x) = 10.x² and g(x)= 3·2* to find out which one has greater output values as x gets very large. She notices that f(₁) =Yo and f(2)=yo. However, g(₁) = 6 and g(2)=12. She concluded that as X Continues to grow the values of f will be greater than the values of g. Explain or show why Priya's conclusion is incorrect.

is Priya Comparing two functions: f(x) = 10.x² and g(x)= 3·2* to find out which one has greater output values as x gets very large. She notices that f(₁) =Yo and f(2)=yo. However, g(₁) = 6 and g(2)=12. She concluded that as X Continues to grow the values of f will be greater than the values of g. Explain or show why Priya's conclusion is incorrect.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 36E
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: Priya is comparing two functions = f(x) = 10.x² and ₁(x) = 3·2* to find out which one has greater output values as x gets very large. She notices that f(₁) =Yo and f(2)=40. However, g(₁)=6 and g(2)=12. She concluded that ou X Continues to the values of f grow will be greater than the values of g. show why Priya's conclusion or Explain is incorrect.
Transcribed Image Text:: Priya is comparing two functions = f(x) = 10.x² and ₁(x) = 3·2* to find out which one has greater output values as x gets very large. She notices that f(₁) =Yo and f(2)=40. However, g(₁)=6 and g(2)=12. She concluded that ou X Continues to the values of f grow will be greater than the values of g. show why Priya's conclusion or Explain is incorrect.
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