Consider the function: x < -2 а? — 9, —2< х <3 -x + 4, За + 1, f(2) = x > 3 a. Is f(x) continuous, not continuous but continuous- from-the-left, not continuous but continuous-from- the-right, or not continuous at all at x = -2? Show all of the work to support your answer. b. Is f(x) continuous, not continuous but continuous- from-the-left, not continuous but continuous-from- the-right, or not continuous at all at r = 3? Show all of the work to support your answer.

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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Consider the function:
x < -2
а? — 9, —2< х <3
-x + 4,
За + 1,
f(2) =
x > 3
a. Is f(x) continuous, not continuous but continuous-
from-the-left, not continuous but continuous-from-
the-right, or not continuous at all at x = -2?
Show all of the work to support your answer.
b. Is f(x) continuous, not continuous but continuous-
from-the-left, not continuous but continuous-from-
the-right, or not continuous at all at r = 3? Show
all of the work to support your answer.
Transcribed Image Text:Consider the function: x < -2 а? — 9, —2< х <3 -x + 4, За + 1, f(2) = x > 3 a. Is f(x) continuous, not continuous but continuous- from-the-left, not continuous but continuous-from- the-right, or not continuous at all at x = -2? Show all of the work to support your answer. b. Is f(x) continuous, not continuous but continuous- from-the-left, not continuous but continuous-from- the-right, or not continuous at all at r = 3? Show all of the work to support your answer.
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