Consider the function: * < -2 { 2? – 9, -2 < * <3 -x + 4, 3x + 1, f(2) = a > 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 a = -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 = 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 98E: 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:
* < -2
{ 2? – 9, -2 < * <3
-x + 4,
3x + 1,
f(2) =
a > 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 a = -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 = 3? Show
all of the work to support your answer.
Transcribed Image Text:Consider the function: * < -2 { 2? – 9, -2 < * <3 -x + 4, 3x + 1, f(2) = a > 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 a = -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 = 3? Show all of the work to support your answer.
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