J is monotone increasing on an interval and has a jump discon- tinuity at 2o in the interior of the domain, show that the jump is bounded above by f(x2) – f(x1) for any two points #1, 12 of the domain surrounding xo, x1 < xo < x2.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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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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If f is monotone increasing on an interval and has a jump discon-
tinuity at ro in the interior of the domain, show that the jump is
bounded above by f(x2) – f(21) for any two points 1, x2 of the
domain surrounding ro, x1 < xo < *2.
Transcribed Image Text:If f is monotone increasing on an interval and has a jump discon- tinuity at ro in the interior of the domain, show that the jump is bounded above by f(x2) – f(21) for any two points 1, x2 of the domain surrounding ro, x1 < xo < *2.
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