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. 10 and f(2) = 40. However, g(1) concludes that as x continues to grow, the values of f will be greater than the values of g She notices that f(1) : 6 and g(2) = 12. She Explain or show why Priya's conclusion is incorrect.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 70E
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Question 15
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.
Transcribed Image Text:Question 15 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.
Question 16
Write an equivalent expression by applying the distributive property.
(x + 2) (x + 9)
Transcribed Image Text:Question 16 Write an equivalent expression by applying the distributive property. (x + 2) (x + 9)
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