Is the function given by g(x)= x+6 continuous over the interval (-4,4)? Why or why not? Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. No, the function is not continuous at x = [ (Use a comma to separate answers as needed.) O B. Yes, the function is continuous over (-4,4) because g(x) is a rational function and the values over the interval (-4,4) are in the domain of g.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Question
1
Is the function given by g(x)
=
continuous over the interval (-4,4)? Why or why not?
X+6
Select the correct answer below and, if necessary, fill in the answer box to complete your choice.
O A. No, the function is not continuous at x =
(Use a comma to separate answers as needed.)
O B. Yes, the function is continuous over (-4,4) because g(x) is a rational function and the values over the interval (-4,4) are in the domain of g.
Transcribed Image Text:1 Is the function given by g(x) = continuous over the interval (-4,4)? Why or why not? X+6 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. No, the function is not continuous at x = (Use a comma to separate answers as needed.) O B. Yes, the function is continuous over (-4,4) because g(x) is a rational function and the values over the interval (-4,4) are in the domain of g.
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