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Determine if the given function is continuous on the given interval a. [2,5) , x

Determine if the given function is continuous on the given interval a. [2,5) , x

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 16CR
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Determine if the given function is Continuous on the given interval. a. [2,5) x <0 f(x) = %3D 5x-8 0s x < 5 3-x2 , 5E X x/-
Transcribed Image Text:Determine if the given function is Continuous on the given interval. a. [2,5) x <0 f(x) = %3D 5x-8 0s x < 5 3-x2 , 5E X x/-
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Follow-up Question

If it is continuous, there are 3 conditions needed to be satisfied:

i. f(a) is defined

ii. lim x→a f(x) exist 

iii. limx→a f(x) = f(a)

How are these conditions satisfied? Please show complete solution.

 

 

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