Suppose f(x) is defined as shown below. a. Use the continuity checklist to show that f is not continuous at 3. b. Is f continuous from the left or right at 3? c. State the interval(s) of continuity. x2 + 3x if x>3 f(x) = 2x if xs3 a. Why is f not continuous at 3? O A. Although lim f0x) exists, it does not equal f(3). x-3 O B. 1(3) is not defined. OC. lim f(x) does not exist.
Suppose f(x) is defined as shown below. a. Use the continuity checklist to show that f is not continuous at 3. b. Is f continuous from the left or right at 3? c. State the interval(s) of continuity. x2 + 3x if x>3 f(x) = 2x if xs3 a. Why is f not continuous at 3? O A. Although lim f0x) exists, it does not equal f(3). x-3 O B. 1(3) is not defined. OC. lim f(x) does not exist.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.7: Combining Functions
Problem 4E: We can express the function in Exercise 3 algebraically as f(x)=g(x)= (fg)(x)=(gf)(x)=
Related questions
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
9
Transcribed Image Text:Suppose f(x) is defined as shown below.
a. Use the continuity checklist to show that f is not continuous at 3.
b. Is f continuous from the left or right at 3?
c. State the interval(s) of continuity.
x? + 3x if x>3
f(X) =
2x
if xs3
a. Why is f not continuous at 3?
A. Although lim f(x) exists, it does not equal f(3).
x-3
O B. f(3) is not defined.
OC. lim f(x) does not exist.
x3
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning