On which of the following interval is f(x) S O (0, +∞0) ○ (2, +∞) O [2, +∞0) 0 (-∞, +∞0) 1 x-2 continuous?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 11E
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On which of the following interval is f(x) =
0 (0, +∞)
O (2, +∞0)
O [2, +∞0)
0 (-∞0, +∞0)
1
√2=-2
x - 2
continuous?
Transcribed Image Text:On which of the following interval is f(x) = 0 (0, +∞) O (2, +∞0) O [2, +∞0) 0 (-∞0, +∞0) 1 √2=-2 x - 2 continuous?
Suppose that f is a function that is continuous at a number c.
Which of the following statements I, II, and III are always true?
1. lim f(x) exists.
(⇒(
II. f' (c) exists.
III. f(c) exists.
O I, II, and III
O I and II only
O I and III only
O II and III only
Transcribed Image Text:Suppose that f is a function that is continuous at a number c. Which of the following statements I, II, and III are always true? 1. lim f(x) exists. (⇒( II. f' (c) exists. III. f(c) exists. O I, II, and III O I and II only O I and III only O II and III only
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