Using the appropriate theorems, explain why the function is continuous at every number in its domain. Q(x)= x³-7 Q(x) is a polynomial, so it is continuous at every number in its domain. Q(x) is a rational function, so it is continuous at every number in its domain. Q(x) is built up from functions that are continuous for all real numbers, so it is continuous at every number in its domain. Q(x) is not continuous at every number in its domain. O none of these Find the domain. (Enter your answer using interval notation.)
Using the appropriate theorems, explain why the function is continuous at every number in its domain. Q(x)= x³-7 Q(x) is a polynomial, so it is continuous at every number in its domain. Q(x) is a rational function, so it is continuous at every number in its domain. Q(x) is built up from functions that are continuous for all real numbers, so it is continuous at every number in its domain. Q(x) is not continuous at every number in its domain. O none of these Find the domain. (Enter your answer using interval notation.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 81E
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![Using the appropriate theorems, explain why the function is continuous at every number in its domain.
Q(x)=
x³-7
Q(x) is a polynomial, so it is continuous at every number in its domain.
Q(x) is a rational function, so it is continuous at every number in its domain.
Q(x) is built up from functions that are continuous for all real numbers, so it is continuous at every number in its domain.
Q(x) is not continuous at every number in its domain.
O none of these
Find the domain. (Enter your answer using interval notation.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6a0ed01-dc7e-4fee-9bdd-27c695376c3b%2F43a4aa79-76c8-4e4b-8501-0b7e8b61b5e6%2F1kcbap_processed.png&w=3840&q=75)
Transcribed Image Text:Using the appropriate theorems, explain why the function is continuous at every number in its domain.
Q(x)=
x³-7
Q(x) is a polynomial, so it is continuous at every number in its domain.
Q(x) is a rational function, so it is continuous at every number in its domain.
Q(x) is built up from functions that are continuous for all real numbers, so it is continuous at every number in its domain.
Q(x) is not continuous at every number in its domain.
O none of these
Find the domain. (Enter your answer using interval notation.)
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