(e) Every functionf defined on (-∞, ∞) that satisfies the condition that lim f(x) = lim f(x) = ∞ must have at least x00 X -00 one critical point. True False

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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(e) Every function f defined on (-∞, 0) that satisfies the condition that lim f(x) = lim f(x) = ∞ must have at least
X 00
X -00
one critical point.
True
O False
(f) The function f(x) = Vx is differentiable at x = 0.
True
False
(g) The function f(x) = |x| is not continuous at x = 0.
True
False
Transcribed Image Text:(e) Every function f defined on (-∞, 0) that satisfies the condition that lim f(x) = lim f(x) = ∞ must have at least X 00 X -00 one critical point. True O False (f) The function f(x) = Vx is differentiable at x = 0. True False (g) The function f(x) = |x| is not continuous at x = 0. True False
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