Priya is 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) = 10 and f(2) = 40. However, g(1) = 6 and g(2) = 12. She concludes 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.
Priya is 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) = 10 and f(2) = 40. However, g(1) = 6 and g(2) = 12. She concludes 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
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 50E
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Priya is 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) = 10 and f(2) = 40. However, g(1) = 6 and g(2) = 12. She concludes 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.
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