Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section: Chapter Questions
Problem 28PT
Related questions
Question
![Consider the function f (x) = |3x – 6|.
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9072c5f8-5632-4fa6-afcd-5fe35f88b36f%2F6ef5f7ae-06bd-4602-8f8f-193a47bc48d9%2Ftqawsas_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the function f (x) = |3x – 6|.
-
![o How is differentiability related to limits?
o Rewrite f (x) as a piecewise function.
o Use the limit definition of the derivative and
the piecewise representation of f (x) to
confirm your observations about
differentiability from the graph. Be sure to
tell me the story of how you choose what
limits you do and why!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9072c5f8-5632-4fa6-afcd-5fe35f88b36f%2F6ef5f7ae-06bd-4602-8f8f-193a47bc48d9%2Fi1zzgyc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:o How is differentiability related to limits?
o Rewrite f (x) as a piecewise function.
o Use the limit definition of the derivative and
the piecewise representation of f (x) to
confirm your observations about
differentiability from the graph. Be sure to
tell me the story of how you choose what
limits you do and why!
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given problem:-
f(x) =|3x-6|
To find:-
- How is differentiability related to limits
- Rewrite f (x) as a piecewise function.
- Use the limit definition of the derivative and the piecewise representation of f (x) to confirm your observations about differentiability from the graph. Be sure to tell me the story of how you choose what limits you do and why!
Step by step
Solved in 7 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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