Determine whether f is continuous on its domain. continuous not continuous If it is not continuous on its domain, say why. lim f(x) = 0 + f(1) and lim f(x) does not exist. X→1 %3D lim f(x) + lim f(x), so lim f(x) does not exist. X→0 The graph is continuous on its domain. The graph has discontinuities at the end points.

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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The graph of a function f is given.
Determine whether f is continuous on its domain.
continuous
not continuous
If it is not continuous on its domain, say why.
lim f(x) = 0 + f(1) and lim f(x) does not exist.
lim f(x) + lim f(x), so lim f(x) does not exist.
The graph is continuous on its domain.
The graph has discontinuities at the end points.
O O
Transcribed Image Text:The graph of a function f is given. Determine whether f is continuous on its domain. continuous not continuous If it is not continuous on its domain, say why. lim f(x) = 0 + f(1) and lim f(x) does not exist. lim f(x) + lim f(x), so lim f(x) does not exist. The graph is continuous on its domain. The graph has discontinuities at the end points. O O
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