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).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 2PT: Determine whether the following function isincreasing or decreasing. f(x)=2x+5
icon
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
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
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Calculus For The Life Sciences
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)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill