Determine the domain of the function. f(x) = In (81 – x²) - (Give your answer as an interval in the form (*,*). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) domain: Identify all correct statements about f and its domain. f is continuous on its domain. f is continuous for all real numbers. f is continuous wherever 81 < x². The polynomial 81 – x² is continuous everywhere. In (x) is continuous for all x > 0, so f is continuous wherever 81 – x2 > 0.
Determine the domain of the function. f(x) = In (81 – x²) - (Give your answer as an interval in the form (*,*). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) domain: Identify all correct statements about f and its domain. f is continuous on its domain. f is continuous for all real numbers. f is continuous wherever 81 < x². The polynomial 81 – x² is continuous everywhere. In (x) is continuous for all x > 0, so f is continuous wherever 81 – x2 > 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 domain of the function.
f(x) = In (81 – x²)
%3D
(Give your answer as an interval in the form (*,*). Use the symbol o for infinity, U for combining intervals, and an appropriate
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express
numbers in exact form. Use symbolic notation and fractions where needed.)
domain:
Identify all correct statements about f and its domain.
f is continuous on its domain.
f is continuous for all real numbers.
f is continuous wherever 81 < x?.
The polynomial 81 – x² is continuous everywhere.
In (x) is continuous for all x > 0, so ƒ is continuous wherever 81 – x? > 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29f12fd2-649f-46fc-9623-49951444b106%2F79ded1d8-04f5-444a-8f72-626fd47a2acf%2Fr23yaew_processed.png&w=3840&q=75)
Transcribed Image Text:Determine the domain of the function.
f(x) = In (81 – x²)
%3D
(Give your answer as an interval in the form (*,*). Use the symbol o for infinity, U for combining intervals, and an appropriate
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express
numbers in exact form. Use symbolic notation and fractions where needed.)
domain:
Identify all correct statements about f and its domain.
f is continuous on its domain.
f is continuous for all real numbers.
f is continuous wherever 81 < x?.
The polynomial 81 – x² is continuous everywhere.
In (x) is continuous for all x > 0, so ƒ is continuous wherever 81 – x? > 0.
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 2 steps with 2 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