For the given function f(x) and values of L,c, andε>0 find the largest open interval about c on which the inequality |f(x)−L|<ε holds. Then determine the largest value for δ>0 such that 0<|x−c|<δ→|f(x)−L|<ε. f(x)=x^2, L=36, c=−6, ε=0.35

For the given function f(x) and values of L,c, andε>0 find the largest open interval about c on which the inequality |f(x)−L|<ε holds. Then determine the largest value for δ>0 such that 0<|x−c|<δ→|f(x)−L|<ε. f(x)=x^2, L=36, c=−6, ε=0.35

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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Question

For the given function f(x) and values of L,c,
andε>0 find the largest open interval about c on which the inequality |f(x)−L|<ε holds. Then determine the largest value for δ>0 such that 0<|x−c|<δ→|f(x)−L|<ε.

f(x)=x^2, L=36, c=−6, ε=0.35

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