Use the graph of the function f shown to the right to estimate the indicated function values and limits. Complete parts (A) through (E) below. Af(x) 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. A. The function is discontinuous at x = 3 since lim f(x) # f(3). X3 O B. The function is discontinuous at x = 3 since f(3) does not exist. O C. The function is discontinuous at x = 3 since lim f(x) does not exist. x-3 O D. The function is continuous.

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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Use the graph of the function f shown to the right to estimate the indicated function values and limits. Complete parts (A) through (E) below.
Af(x)
...
X3
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 discontinuous at x = 3 since lim f(x)# f(3).
X3
B. The function is discontinuous at x = 3 since f(3) does not exist.
C. The function is discontinuous at x = 3 since lim f(x) does not exist.
X3
D. The function is continuous.
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) below. Af(x) ... X3 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 discontinuous at x = 3 since lim f(x)# f(3). X3 B. The function is discontinuous at x = 3 since f(3) does not exist. C. The function is discontinuous at x = 3 since lim f(x) does not exist. X3 D. The function is continuous.
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