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.)

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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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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