Given the piecewise function f(x) = = Why is f not differentiable at x = 4? Of has no tangent line at x = 4 Of has a vertical tangent line at x = 4 Of is continuous at x = 4 Of is discontinuous at x = 4 0 x≤0 5 x 04

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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Given the piecewise function f(x)
=
Why is f not differentiable at x = 4?
Of has no tangent line at x =
= 4
Of has a vertical tangent line at * = 4
Of is continuous at x = 4
Of is discontinuous at x = 4
0
5
I
x
x < 0
0 < x < 4.
x > 4
Transcribed Image Text:Given the piecewise function f(x) = Why is f not differentiable at x = 4? Of has no tangent line at x = = 4 Of has a vertical tangent line at * = 4 Of is continuous at x = 4 Of is discontinuous at x = 4 0 5 I x x < 0 0 < x < 4. x > 4
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