4. On the graph below, sketch a function h(x) with the properties listed below. Briefly justify why your sketch satisfies each condition. • lim h (x) does not exist x→0 • h(x) is not continuous at x = -2 even though lim h (x) exists x→-2 • h(x) is continuous but not differentiable at x = 3 4 3 2 1 + co Ņ A -2 -3 -4 5 W -10

College Algebra
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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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4. On the graph below, sketch a function h(x) with the properties listed below. Briefly
justify why your sketch satisfies each condition.
• lim h (x) does not exist
x→0
•
h(x) is not continuous at x = -2 even though lim h (x) exists
X→-2
• h(x) is continuous but not differentiable at x = 3
4
3
2
1
-1
-2
-3
-4
5
P
at
in
Transcribed Image Text:4. On the graph below, sketch a function h(x) with the properties listed below. Briefly justify why your sketch satisfies each condition. • lim h (x) does not exist x→0 • h(x) is not continuous at x = -2 even though lim h (x) exists X→-2 • h(x) is continuous but not differentiable at x = 3 4 3 2 1 -1 -2 -3 -4 5 P at in
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