x+1, x < 4 Let f(x) = x-4, x ≥4 Explain why f is (or is not) continuous at x = 4. Explain why f is (or is not) differentiable at x = 4. In general what is the relationship between continuity and differentiabilit

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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x+1,
x < 4
4. Let f(x)=
x-4,
x ≥ 4
(a) Explain why f is (or is not) continuous at x = 4.
(b) Explain why f is (or is not) differentiable at x = 4.
L(c) In general, what is the relationship between continuity and differentiability?
Transcribed Image Text:x+1, x < 4 4. Let f(x)= x-4, x ≥ 4 (a) Explain why f is (or is not) continuous at x = 4. (b) Explain why f is (or is not) differentiable at x = 4. L(c) In general, what is the relationship between continuity and differentiability?
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