Use the graph of the function f shown to the right to estimate the indicated function values and limits. Complete parts (A) through (E). um TIX) = Un. x--3 O B. The limit does not exist. (D) Find the function value f(- 3). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. f(- 3) = O B. The value does not exist. (E) Is f continuous at x = - 3? Explain. O A. The function is continuous. O B. The function is discontinuous at x = -3 since lim f(x) does not exist. X-3 O C. The function s discontinuous at x = -3 since lim f(x) # f( - 3). X-3 O D. The function is discontinuous at x = -3 since f(-3) 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
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Use the graph of the function f shown to the right to estimate the indicated function values and limits. Complete parts (A) through (E).
um T(X) =
Un.
x--3
O B. The limit does not exist.
(D) Find the function value f(- 3). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. f(-3) =
O B. The value does not exist.
(E) Is f continuous at x = - 3? Explain.
O A. The function is continuous.
O B. The function is discontinuous at x = - 3 since lim f(x) does not exist.
X-3
O C. The function
s discontinuous at x= -3 since lim f(x) # f( - 3).
X-3
O D. The function is discontinuous at x = - 3 since f(-3) does not exist.
Transcribed Image Text:Use the graph of the function f shown to the right to estimate the indicated function values and limits. Complete parts (A) through (E). um T(X) = Un. x--3 O B. The limit does not exist. (D) Find the function value f(- 3). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. f(-3) = O B. The value does not exist. (E) Is f continuous at x = - 3? Explain. O A. The function is continuous. O B. The function is discontinuous at x = - 3 since lim f(x) does not exist. X-3 O C. The function s discontinuous at x= -3 since lim f(x) # f( - 3). X-3 O D. The function is discontinuous at x = - 3 since f(-3) does not exist.
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