{x + 1, x < 4 lx - 4, x 2 4 Let f(x)= a) Explain why f is (or is not) continuous at x = 4. b) Explain why f is (or is not) differentiable at x =4. c) In general, what is the relationship between continuity and differentiability?

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
lx - 4, x 2 4
Let f(x)=
a) Explain why f is (or is not) continuous at x = 4.
b) Explain why f is (or is not) differentiable at x =4.
c) In general, what is the relationship between continuity and differentiability?
Transcribed Image Text:x + 1, x < 4 lx - 4, x 2 4 Let f(x)= a) Explain why f is (or is not) continuous at x = 4. b) Explain why f is (or is not) differentiable at x =4. c) In general, what is the relationship between continuity and differentiability?
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