Determine whether the following function is continuous at a. Use the continuity checklist to justify your answer. x²-169 f(x) = x-13 if x # 13 if x = 13 ; a = 13 Select all that apply. A. The function is continuous at a = 13. B. The function is not continuous at a = 13 because f(13) is undefined. C. The function is not continuous at a = 13 because lim f(x) does not exist. x-13 D. The function is not continuous at a = 13 because lim f(x) #f(13).
Determine whether the following function is continuous at a. Use the continuity checklist to justify your answer. x²-169 f(x) = x-13 if x # 13 if x = 13 ; a = 13 Select all that apply. A. The function is continuous at a = 13. B. The function is not continuous at a = 13 because f(13) is undefined. C. The function is not continuous at a = 13 because lim f(x) does not exist. x-13 D. The function is not continuous at a = 13 because lim f(x) #f(13).
Chapter4: Linear Functions
Section: Chapter Questions
Problem 2PT: Determine whether the following function isincreasing or decreasing. f(x)=2x+5
Related questions
Question
![Determine whether the following function is continuous at a. Use the continuity checklist to justify your answer.
f(x) =
x²-169
x-13
1
Select all that apply.
if x # 13
if x = 13
; a = 13
A. The function is continuous at a = 13.
B. The function is not continuous at a = 13 because f(13) is undefined.
C. The function is not continuous at a = 13 because lim f(x) does not exist.
x-13
D. The function is not continuous at a = 13 because lim f(x) #f(13).
x-13](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F594a73fa-142a-4034-897a-cd9383fc5058%2F4ad5e8ec-dcc8-4248-a98f-868288c0a9ce%2Fpw6209d_processed.png&w=3840&q=75)
Transcribed Image Text:Determine whether the following function is continuous at a. Use the continuity checklist to justify your answer.
f(x) =
x²-169
x-13
1
Select all that apply.
if x # 13
if x = 13
; a = 13
A. The function is continuous at a = 13.
B. The function is not continuous at a = 13 because f(13) is undefined.
C. The function is not continuous at a = 13 because lim f(x) does not exist.
x-13
D. The function is not continuous at a = 13 because lim f(x) #f(13).
x-13
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill