The graph below is the function f(x) 3 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 Determine which one of the following rules for continuity is violated at x = 2. Olim f(x) = f(a). x→a lim f(x) exists. x→a f(a) is defined.

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 below is the function f(x)
5
4
3
2
+
-5 -4 -3 -2 -1
-1
~
2 3 4 5
Determine which one of the following rules for continuity is violated at x = 2.
Olim
f(x) = f(a).
x→a
Olim f(x) exists.
x→a
Ⓒf(a) is defined.
Transcribed Image Text:The graph below is the function f(x) 5 4 3 2 + -5 -4 -3 -2 -1 -1 ~ 2 3 4 5 Determine which one of the following rules for continuity is violated at x = 2. Olim f(x) = f(a). x→a Olim f(x) exists. x→a Ⓒf(a) is defined.
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