1. Consider the function f defined on [0, ∞), 1 f(x) = sin- x + 0 x = 0

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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1. Consider the function f defined on [0, 0),
1
x" sin=, x # 0
f(x) =
x = 0
where r > 0. Determine the range of r in which
(a) f is continuous on [0, c0),
(b) f is differentiable on [0,0),
(c) f' exists and is differentiable on [0, 0).
Transcribed Image Text:1. Consider the function f defined on [0, 0), 1 x" sin=, x # 0 f(x) = x = 0 where r > 0. Determine the range of r in which (a) f is continuous on [0, c0), (b) f is differentiable on [0,0), (c) f' exists and is differentiable on [0, 0).
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