On which interval does the function f(x) = (x+ 5)/(x-1) discontinuous? О а. [0, 2] O b. [-1,0] Ос. (-2, 1) O d. (1,2) The function below is continuous at any number. Find the value of k- C. x < 1 1< x < 4 x > 4 X , cx + k, -2x , f(x) = Answer: Determine the number at which the function f(x) = (2x - 3)/(3x - 24) is discontinuous. %3D Answer:

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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O c. 0
Od.
indeterminate
Tir
Clear my choice
On which interval does the function f(x) = (x+5)/(x - 1) discontinuous?
О a. [0, 2]
O b. [-1, 0]
O c. (-2, 1)
O d. (1, 2)
The function below is continuous at any number. Find the value of k-C.
x < 1
1< x < 4
x > 4
х,
f(x) =
сх + k ,
%3D
-2x,
Answer:
Determine the number at which the function f(x) = (2x - 3)/(3x³ - 24) is discontinuous.
Answer:
Transcribed Image Text:O c. 0 Od. indeterminate Tir Clear my choice On which interval does the function f(x) = (x+5)/(x - 1) discontinuous? О a. [0, 2] O b. [-1, 0] O c. (-2, 1) O d. (1, 2) The function below is continuous at any number. Find the value of k-C. x < 1 1< x < 4 x > 4 х, f(x) = сх + k , %3D -2x, Answer: Determine the number at which the function f(x) = (2x - 3)/(3x³ - 24) is discontinuous. Answer:
-45359&cmid=18767
es (22)v
Bookmarksv
If lim, 5 f(x) = 2, what is the value of 2 lim, 5[f(x)]³ ?
Time left 1:20:51
O a. 12
O b. 16
O c. 6
O d. 8
A rectangular garden will be placed adjacent to a building. It will be enclosed by wooden fences using 125 feet
of material such that the building will be considered as a boundary on one of the garden's side. If x feet is the
side of the garden perpendicular to the building, the area of the garden can be expressed in terms of x. Which
statement is true?
Oa.
The function is continuous within its domain.
O b. The function is discontinuous everywhere.
O c. The function is continuous everywhere.
O d. The function is discontinuous within the domain
1
2*-1,
Vx + 4,
-2x + 2,
xS-4
f(x) =
-4 < x<0
x>0
Is f(x) continuous at x = -4?
O a. Yes, the limit from the left-hand and right-hand sides are equal.
O b. Yes, all conditions are satisfied.
c.
No, f(-4) is not defined.
Od.
No, limit of f(x) as x approaches -4 does not exist.
Transcribed Image Text:-45359&cmid=18767 es (22)v Bookmarksv If lim, 5 f(x) = 2, what is the value of 2 lim, 5[f(x)]³ ? Time left 1:20:51 O a. 12 O b. 16 O c. 6 O d. 8 A rectangular garden will be placed adjacent to a building. It will be enclosed by wooden fences using 125 feet of material such that the building will be considered as a boundary on one of the garden's side. If x feet is the side of the garden perpendicular to the building, the area of the garden can be expressed in terms of x. Which statement is true? Oa. The function is continuous within its domain. O b. The function is discontinuous everywhere. O c. The function is continuous everywhere. O d. The function is discontinuous within the domain 1 2*-1, Vx + 4, -2x + 2, xS-4 f(x) = -4 < x<0 x>0 Is f(x) continuous at x = -4? O a. Yes, the limit from the left-hand and right-hand sides are equal. O b. Yes, all conditions are satisfied. c. No, f(-4) is not defined. Od. No, limit of f(x) as x approaches -4 does not exist.
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