2. Using results (eg. known continuous functions) and rules (eg. Sandwich Theorem, Glue Rule) from the course material, determine if the following functions are continuous at 2. S(x – 2)² sin („-,), x#2, 10, | a. f(x) = x = 2. | 2x3 – 3x² + 2x, x < 2, x³ – 3x + 6, b. f(x) = x > 2.

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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2. Using results (eg. known continuous functions) and rules (eg. Sandwich Theorem, Glue Rule) from
the course material, determine if the following functions are continuous at 2,
S (x – 2)² sin („"2), x#2,
10,
-
a. f(x) =
X-2
x = 2.
| x < 2,
2x3 – 3x² + 2x ,
-
b. f(x) =
|
x³ – 3x + 6,
x > 2.
-
Transcribed Image Text:2. Using results (eg. known continuous functions) and rules (eg. Sandwich Theorem, Glue Rule) from the course material, determine if the following functions are continuous at 2, S (x – 2)² sin („"2), x#2, 10, - a. f(x) = X-2 x = 2. | x < 2, 2x3 – 3x² + 2x , - b. f(x) = | x³ – 3x + 6, x > 2. -
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