1 Is the function given by f(x) = . 3x+4, for x s3, continuous at x= 3? Why or why not? 3x - 4, for x>3, Choose the correct answer below. A. The given function is not continuous at x= 3 because the limit does not exist. B. The given function is continuous at x= 3 because f(3) does not exist. O C. The given function is not continuous at x = 3 because f(3) = lim f(x) = 5. %3D X-3 O D. The given function is continuous at x-3 because f(3) = lim f(x) =5. %3D X→3

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 99E: 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 f(x) = ! 3×+4, for x <3,
continuous at x = 3? Why or why not?
Зх - 4, for x > 3,
Choose the correct answer below.
A. The given function is not continuous at x = 3 because the limit does not exist.
B. The given function is continuous at x= 3 because f(3) does not exist.
C. The given function is not continuous at x = 3 because f(3) = lim f(x) = 5.
x→3
D. The given function is continuous at x = 3 because f(3) = lim f(x) = 5.
x→3
Transcribed Image Text:1 Is the function given by f(x) = ! 3×+4, for x <3, continuous at x = 3? Why or why not? Зх - 4, for x > 3, Choose the correct answer below. A. The given function is not continuous at x = 3 because the limit does not exist. B. The given function is continuous at x= 3 because f(3) does not exist. C. The given function is not continuous at x = 3 because f(3) = lim f(x) = 5. x→3 D. The given function is continuous at x = 3 because f(3) = lim f(x) = 5. x→3
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