Sketch a possible graph of a function that satisfies the following conditions at x= 1 and discuss the continuity of f at x = 1. f(1) = 1 and lim f(x)= - 1 x-1 Choose the correct graph below. O A. OB. Oc. OD. Af(x) Af(x) A(x) AfX) Is the function continuous at x = 1? O A. The function is discontinuous at x = 1 since f(1) does not exist. O B. The function is discontinuous at x = 1 since lim f(x)#f(1).

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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Sketch a possible graph of a function that satisfies the following conditions at x= 1 and discuss the continuity of f at x = 1.
f(1) = 1 and lim f(x)= - 1
x-1
Choose the correct graph below.
O A.
OB.
Oc.
OD.
Af(x)
Af(x)
A(x)
AfX)
Is the function continuous at x = 1?
O A. The function is discontinuous at x = 1 since f(1) does not exist.
O B. The function is discontinuous at x = 1 since lim f(x)#f(1).
Transcribed Image Text:Sketch a possible graph of a function that satisfies the following conditions at x= 1 and discuss the continuity of f at x = 1. f(1) = 1 and lim f(x)= - 1 x-1 Choose the correct graph below. O A. OB. Oc. OD. Af(x) Af(x) A(x) AfX) Is the function continuous at x = 1? O A. The function is discontinuous at x = 1 since f(1) does not exist. O B. The function is discontinuous at x = 1 since lim f(x)#f(1).
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