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Explain, using these theorems, why the function is continuous at every number in its domain. M(x) 1 + x M(x) is a polynomial, so it is continuous at every number in its domain. M(x) is a rational function, so it is continuous at every number in its domain. M(x) is an exponential function, so it is continuous at every number in its domain. M(x) is a composition of functions that are continuous on the domain of M(x), so it is continuous at every number in its domain. M(x) is not continuous at every number in its domain. State the domain. (Enter your answer using interval notation.)

Explain, using these theorems, why the function is continuous at every number in its domain. M(x) 1 + x M(x) is a polynomial, so it is continuous at every number in its domain. M(x) is a rational function, so it is continuous at every number in its domain. M(x) is an exponential function, so it is continuous at every number in its domain. M(x) is a composition of functions that are continuous on the domain of M(x), so it is continuous at every number in its domain. M(x) is not continuous at every number in its domain. State the domain. (Enter your answer using interval notation.)

College Algebra (MindTap Course List)
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 these theorems, why the function is continuous at every number in its domain. M(x) 1 + x M(x) is a polynomial, so it is continuous at every number in its domain. M(x) is a rational function, so it is continuous at every number in its domain. M(x) is an exponential function, so it is continuous at every number in its domain. M(x) is a composition of functions that are continuous on the domain of M(x), so it is continuous at every number in its domain. M(x) is not continuous at every number in its domain. State the domain. (Enter your answer using interval notation.)
Transcribed Image Text:Explain, using these theorems, why the function is continuous at every number in its domain. M(x) 1 + x M(x) is a polynomial, so it is continuous at every number in its domain. M(x) is a rational function, so it is continuous at every number in its domain. M(x) is an exponential function, so it is continuous at every number in its domain. M(x) is a composition of functions that are continuous on the domain of M(x), so it is continuous at every number in its domain. M(x) is not continuous at every number in its domain. State the domain. (Enter your answer using interval notation.)
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