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Explain, using the theorems, why the function is continuous at every number in its domain. 2x2 – x – 4 x2 + 9 F(x) : O F(x) is a polynomial, so it is continuous at every number in its domain. F(x) is a rational function, so it is continuous at every number in its domain. O F(x) is a composition of functions that are continuous for all real numbers, so it is continuous at every number in its domain. O F(x) is not continuous at every number in its domain. O none of these State the domain. (Enter your answer using interval notation.)

Explain, using the theorems, why the function is continuous at every number in its domain. 2x2 – x – 4 x2 + 9 F(x) : O F(x) is a polynomial, so it is continuous at every number in its domain. F(x) is a rational function, so it is continuous at every number in its domain. O F(x) is a composition of functions that are continuous for all real numbers, so it is continuous at every number in its domain. O F(x) is not continuous at every number in its domain. O none of these State the domain. (Enter your answer using interval notation.)

Calculus: Early Transcendentals
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...
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Explain, using the theorems, why the function is continuous at every number in its domain. 2x2 - x - 4 x2 + 9 F(x) F(x) is a polynomial, so it is continuous at every number in its domain. F(x) is a rational function, so it is continuous at every number in its domain. O F(x) is a composition of functions that are continuous for all real numbers, so it is continuous at every number in its domain. O F(x) is not continuous at every number in its domain. none of these State the domain. (Enter your answer using interval notation.)
Transcribed Image Text:Explain, using the theorems, why the function is continuous at every number in its domain. 2x2 - x - 4 x2 + 9 F(x) F(x) is a polynomial, so it is continuous at every number in its domain. F(x) is a rational function, so it is continuous at every number in its domain. O F(x) is a composition of functions that are continuous for all real numbers, so it is continuous at every number in its domain. O F(x) is not continuous at every number in its domain. none of these State the domain. (Enter your answer using interval notation.)
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