Let f(x) x2 and for each real number n > 1, define the function 1- |æ| In (x) = 1 – n (i) Find the area An bounded between f and gn. Your answer should depend on n. (ii) Find the area A bounded between f and the constant function c(x) = 1. (iii) Notice that as n becomes very large, An approaches A. Explain why this is true by referring to the relationship between gn and c.

Let f(x) x2 and for each real number n > 1, define the function 1- |æ| In (x) = 1 – n (i) Find the area An bounded between f and gn. Your answer should depend on n. (ii) Find the area A bounded between f and the constant function c(x) = 1. (iii) Notice that as n becomes very large, An approaches A. Explain why this is true by referring to the relationship between gn and c.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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