Classify each point of the function f using the statements about continuity. Some statements may apply to more than one point. However, there is only one way to label all the points while using all the statements. AAL -6- -6 At x = -3 At x = 0 At x = 4. 6 8 f is discontinuous because the limit of f does not exist at this point. f is continuous from the right, but not continuous from the left. Answer Bank f is discontinuous because ƒ is not defined at this point. At x = -1 At x = 2 f has a removable discontinuity. f is discontinuous because the limit and the function value are not equal. At x = 6. f is continuous.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Classify each point of the function f using the statements about continuity.
Some statements may apply to more than one point. However, there is only one way to label all the points while using all
the statements.
8-
6-0
4
AL
-2-
-4.
At x = -3
At x = 0
At x = 4.
-6-
-8-
X
f is discontinuous because the limit of f does not exist at this point.
f is continuous from the right, but not continuous from the left.
Answer Bank
f is discontinuous because f is not defined at this point.
At x = -1
At x = 2
f has a removable discontinuity.
f is discontinuous because the limit and the function value are not equal.
At x = 6.
f is continuous.
Transcribed Image Text:Classify each point of the function f using the statements about continuity. Some statements may apply to more than one point. However, there is only one way to label all the points while using all the statements. 8- 6-0 4 AL -2- -4. At x = -3 At x = 0 At x = 4. -6- -8- X f is discontinuous because the limit of f does not exist at this point. f is continuous from the right, but not continuous from the left. Answer Bank f is discontinuous because f is not defined at this point. At x = -1 At x = 2 f has a removable discontinuity. f is discontinuous because the limit and the function value are not equal. At x = 6. f is continuous.
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