1 Is the function given by f(x) = ! x+1, for x <2, continuous at x = 2? Why or why not? 2x - 2, for x> 2, Choose the correct answer below. O A. The given function is not continuous at x= 2 because f(2) = lim f(x) = 2. %3D B. The given function is not continuous at x= 2 because the limit does not exist. C. The given function is continuous at x = 2 because f(2) = lim f(x) = 2. X→2 O D. The given function is continuous at x = 2 because f(2) does not exist.

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) = ! 7x+1, for x <2,
continuous at x = 2? Why or why not?
2x - 2, for x> 2,
Choose the correct answer below.
O A. The given function is not continuous at x = 2 because f(2) = lim f(x) = 2.
x→2
B. The given function is not continuous at x = 2 because the limit does not exist.
O C. The given function is continuous at x= 2 because f(2) = lim f(x) = 2.
X→2
O D. The given function is continuous at x = 2 because f(2) does not exist.
Transcribed Image Text:1 Is the function given by f(x) = ! 7x+1, for x <2, continuous at x = 2? Why or why not? 2x - 2, for x> 2, Choose the correct answer below. O A. The given function is not continuous at x = 2 because f(2) = lim f(x) = 2. x→2 B. The given function is not continuous at x = 2 because the limit does not exist. O C. The given function is continuous at x= 2 because f(2) = lim f(x) = 2. X→2 O D. The given function is continuous at x = 2 because f(2) does not exist.
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