Determine the intervals of continuity for the following function. y=f(x) 401 9 8 17- 5 4- 3 2- 4- Q 37 Choose the correct answer below. O A. [-6, -5], (-5, -3), (-3,-2), (-2, 0] OB. (-6, -5), (-5, -3), (-3,-2), (-2, 0) OC. [-6, -5), [-5, -3), (-3,-2), (-2, 0] OD. [-6, -5), [-5, -3), (-3, -2), (-2, 0)
Determine the intervals of continuity for the following function. y=f(x) 401 9 8 17- 5 4- 3 2- 4- Q 37 Choose the correct answer below. O A. [-6, -5], (-5, -3), (-3,-2), (-2, 0] OB. (-6, -5), (-5, -3), (-3,-2), (-2, 0) OC. [-6, -5), [-5, -3), (-3,-2), (-2, 0] OD. [-6, -5), [-5, -3), (-3, -2), (-2, 0)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![### Determine the Intervals of Continuity for the Following Function:
#### Graph Description:
The graph shows a function \( y = f(x) \) plotted on a coordinate plane. Here's a detailed description of the function:
- The graph begins at \( x = -6 \) with an open circle at \( (-6, 2) \) and a filled circle at \( (-6, -3) \), indicating a jump discontinuity.
- The function is continuous from \( x = -6 \) until \( x = -5 \), passing through \( (-5, -3) \).
- Another filled circle is at \( (-5, -3) \), and it continues smoothly upwards until \( x = -3 \).
- At \( x = -3 \), there's an open circle at \( (-3, -2) \) indicating a discontinuity, followed by a filled circle moving upward.
- It resumes continuity and peaks at \( x = -2 \) with a filled point at \( (-2, 0) \).
- The curve ends at this peak.
#### Task:
Choose the correct set of intervals during which this function remains continuous. Pay careful attention to any points of discontinuity such as jumps or open circles, as these define where continuity is broken.
#### Answer Choices:
A. \([-6, -5), (-5, -3), (-3, -2), (-2, 0]\)
B. \((-6, -5), (-5, -3), (-3, -2), (-2, 0]\)
C. \([-6, -5), [-5, -3), (-3, -2), (-2, 0]\)
D. \([-6, -5), [-5, -3), (-3, -2], (-2, 0]\)
Examine the graph carefully to match with the intervals provided in the answer choices, and select the correct intervals of continuity for the function displayed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F982437f2-81fd-4f07-8f8a-fea4c039ac1e%2F09c32062-5c11-4695-8afc-216e31d69497%2F5xom316_processed.png&w=3840&q=75)
Transcribed Image Text:### Determine the Intervals of Continuity for the Following Function:
#### Graph Description:
The graph shows a function \( y = f(x) \) plotted on a coordinate plane. Here's a detailed description of the function:
- The graph begins at \( x = -6 \) with an open circle at \( (-6, 2) \) and a filled circle at \( (-6, -3) \), indicating a jump discontinuity.
- The function is continuous from \( x = -6 \) until \( x = -5 \), passing through \( (-5, -3) \).
- Another filled circle is at \( (-5, -3) \), and it continues smoothly upwards until \( x = -3 \).
- At \( x = -3 \), there's an open circle at \( (-3, -2) \) indicating a discontinuity, followed by a filled circle moving upward.
- It resumes continuity and peaks at \( x = -2 \) with a filled point at \( (-2, 0) \).
- The curve ends at this peak.
#### Task:
Choose the correct set of intervals during which this function remains continuous. Pay careful attention to any points of discontinuity such as jumps or open circles, as these define where continuity is broken.
#### Answer Choices:
A. \([-6, -5), (-5, -3), (-3, -2), (-2, 0]\)
B. \((-6, -5), (-5, -3), (-3, -2), (-2, 0]\)
C. \([-6, -5), [-5, -3), (-3, -2), (-2, 0]\)
D. \([-6, -5), [-5, -3), (-3, -2], (-2, 0]\)
Examine the graph carefully to match with the intervals provided in the answer choices, and select the correct intervals of continuity for the function displayed.
Expert Solution
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 3 steps with 1 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning