or For the given function f(x) and numbers L, c, and e> 0, find an open interval about c on which the inequality f(x)-L0 such that for all x satisfying 0r

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 50HP
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K
For the given function f(x) and numbers L, c, and e > 0, find an open interval about c on which the inequality f(x) - L<e holds. Then give a value for 8 >0 such that for all x satisfying 0</x-c/<8
the inequality f(x)-L<e holds.
f(x)=x²-3, L= 1, c = 2, e=1
=tructor
For what open interval does the inequality f(x)-L<e hold?
0
(Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed.)
Clear all
Check answer
Transcribed Image Text:K For the given function f(x) and numbers L, c, and e > 0, find an open interval about c on which the inequality f(x) - L<e holds. Then give a value for 8 >0 such that for all x satisfying 0</x-c/<8 the inequality f(x)-L<e holds. f(x)=x²-3, L= 1, c = 2, e=1 =tructor For what open interval does the inequality f(x)-L<e hold? 0 (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed.) Clear all Check answer
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