Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
a+14 if a < 8 V8 x +10 if x > 8 Analyze the function f (x) Your classmates may be analyzing different functions, so in your initial post in Brightspace be sure to specify the function that you are analyzing. Part 1: Is f (x) continuous at x = 8? Explain why or why not in your Discussion post O Yes O No Hint: In order for f (x) to be continuous at x = 8, the limits of f (x) from the left and from the right must both exist and be equal to f (8). Part 2: Is f (x) differentiable at x = 8? Explain why or why not in your Discussion post. Yes No Hint: Similarly to continuity, in order for f (x) to be differentiable at x = 8, f (x) must be continuous at x = 8 and the limits of the difference quotient f(8+h)-f(8) from the left and from the right must both exist and be equal to each other.

a+14 if a < 8 V8 x +10 if x > 8 Analyze the function f (x) Your classmates may be analyzing different functions, so in your initial post in Brightspace be sure to specify the function that you are analyzing. Part 1: Is f (x) continuous at x = 8? Explain why or why not in your Discussion post O Yes O No Hint: In order for f (x) to be continuous at x = 8, the limits of f (x) from the left and from the right must both exist and be equal to f (8). Part 2: Is f (x) differentiable at x = 8? Explain why or why not in your Discussion post. Yes No Hint: Similarly to continuity, in order for f (x) to be differentiable at x = 8, f (x) must be continuous at x = 8 and the limits of the difference quotient f(8+h)-f(8) from the left and from the right must both exist and be equal to each other.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
See similar textbooks
icon
Related questions
Question
+ 14 if z < 8 x + 14 Analyze the function f (x) = 8 x + 10 if x > 8 Your classmates may be analyzing different functions, so in your initial post in Brightspace be sure to specify the function that you are analyzing. Part 1: Is f (x) continuous at x = 8? Explain why or why not in your Discussion post Yes No Hint: In order for f (x) to be continuous at x = 8, the limits of f (x) from the left and from the right must both exist and be equal to f (8). Part 2: Is f (x) differentiable at x = 8? Explain why or why not in your Discussion post. Yes No Hint: Similarly to continuity, in order for f (x) to be differentiable at x = f(8+h)–f(8) = 8, f (x) must be continuous at x = 8 and the limits of the difference quotient from the left and from the right must both exist and be equal to each other. h
Transcribed Image Text:+ 14 if z < 8 x + 14 Analyze the function f (x) = 8 x + 10 if x > 8 Your classmates may be analyzing different functions, so in your initial post in Brightspace be sure to specify the function that you are analyzing. Part 1: Is f (x) continuous at x = 8? Explain why or why not in your Discussion post Yes No Hint: In order for f (x) to be continuous at x = 8, the limits of f (x) from the left and from the right must both exist and be equal to f (8). Part 2: Is f (x) differentiable at x = 8? Explain why or why not in your Discussion post. Yes No Hint: Similarly to continuity, in order for f (x) to be differentiable at x = f(8+h)–f(8) = 8, f (x) must be continuous at x = 8 and the limits of the difference quotient from the left and from the right must both exist and be equal to each other. h
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Is there a way to solve this w/o using L'Hospital's rule? 

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS