Consider the function x - 3 for x<4 f(x) = for x >4 By using the characterization of continuous function in terms of open (or closed) sets, prove that f is not continuous.

Trigonometry (MindTap Course List)
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Author:Ron Larson
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ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
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Consider the function
x -3 for x <4
f(x) =
for x > 4
By using the characterization of continuous function in terms of open (or closed)
sets, prove that f is not continuous.
Transcribed Image Text:Consider the function x -3 for x <4 f(x) = for x > 4 By using the characterization of continuous function in terms of open (or closed) sets, prove that f is not continuous.
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