The graph of a function f is given. y 1 1 Determine whether fis continuous on its domain.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The graph of a function f is given.
an
continuous
X
Determine whether fis continuous on its domain.
not continuous
If it is not continuous on its domain, say why.
The graph is continuous on its domain.
lim f(x) # lim f(x), so lim f(x) does not exist.
-
X-0
X-0
lim f(x) = f(0)
X-0
The graph has discontinuities at the end points.
Transcribed Image Text:The graph of a function f is given. an continuous X Determine whether fis continuous on its domain. not continuous If it is not continuous on its domain, say why. The graph is continuous on its domain. lim f(x) # lim f(x), so lim f(x) does not exist. - X-0 X-0 lim f(x) = f(0) X-0 The graph has discontinuities at the end points.
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