Use the graph to answer these questions. a. Find lim f(x) and lim f(x). X-4* X-4 b. Find lim f(x). X-4 c. Find f(4). d. Is f(x) continuous at x = 4? Why or why not? 10 10

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use the graph to answer these questions.
a. Find lim f(x) and lim f(x).
X→4*
X-4
b. Find lim f(x).
X→4
c. Find f(4).
d. Is f(x) continuous at x = 4? Why or why not?
a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A.
(Simplify your answer.)
lim f(x) =
X→4+
O B. The limit does not exist.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. lim f(x) =
(Simplify your answer.)
X→4
OB. The limit does not exist.
b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. lim f(x) =
(Simplify your answer.)
x→4
O B. The limit does not exist.
c. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. f(4)=
(Simplify your answer.)
O B. The function is undefined at x = 4.
d. Is f(x) continuous at x = 4? Why or why not?
O A. No, f(x) is not continuous at x = 4 because f(4) is undefined.
O B. Yes, f(x) is continuous at x = 4 because lim f(x) = f(4).
X→4
G
Ay
10+
of
y = f(x)
Q
14
Transcribed Image Text:Use the graph to answer these questions. a. Find lim f(x) and lim f(x). X→4* X-4 b. Find lim f(x). X→4 c. Find f(4). d. Is f(x) continuous at x = 4? Why or why not? a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. (Simplify your answer.) lim f(x) = X→4+ O B. The limit does not exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x) = (Simplify your answer.) X→4 OB. The limit does not exist. b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x) = (Simplify your answer.) x→4 O B. The limit does not exist. c. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. f(4)= (Simplify your answer.) O B. The function is undefined at x = 4. d. Is f(x) continuous at x = 4? Why or why not? O A. No, f(x) is not continuous at x = 4 because f(4) is undefined. O B. Yes, f(x) is continuous at x = 4 because lim f(x) = f(4). X→4 G Ay 10+ of y = f(x) Q 14
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