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.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.5: Transformation Of Functions

Problem 3SE: When examining the formula of a function that is the result of multiple transformations, how can you...

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