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A Function F Is Continuous at the Point If

Question 177

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A function f is continuous at the point A function f is continuous at the point   if the following conditions are satisfied. ​ 1)    is defined. 2)    exists. 3)    . ​ Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s)  for continuity that are violated. ​   ​   ​ A)    ; conditions 1, 2 B)    ; conditions 2, 3 C)    ; conditions 1, 2 D)    ; condition 2 E)  Continuous everywhere. if the following conditions are satisfied. ​
1) A function f is continuous at the point   if the following conditions are satisfied. ​ 1)    is defined. 2)    exists. 3)    . ​ Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s)  for continuity that are violated. ​   ​   ​ A)    ; conditions 1, 2 B)    ; conditions 2, 3 C)    ; conditions 1, 2 D)    ; condition 2 E)  Continuous everywhere. is defined.
2) A function f is continuous at the point   if the following conditions are satisfied. ​ 1)    is defined. 2)    exists. 3)    . ​ Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s)  for continuity that are violated. ​   ​   ​ A)    ; conditions 1, 2 B)    ; conditions 2, 3 C)    ; conditions 1, 2 D)    ; condition 2 E)  Continuous everywhere. exists.
3) A function f is continuous at the point   if the following conditions are satisfied. ​ 1)    is defined. 2)    exists. 3)    . ​ Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s)  for continuity that are violated. ​   ​   ​ A)    ; conditions 1, 2 B)    ; conditions 2, 3 C)    ; conditions 1, 2 D)    ; condition 2 E)  Continuous everywhere. .

Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s) for continuity that are violated.
A function f is continuous at the point   if the following conditions are satisfied. ​ 1)    is defined. 2)    exists. 3)    . ​ Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s)  for continuity that are violated. ​   ​   ​ A)    ; conditions 1, 2 B)    ; conditions 2, 3 C)    ; conditions 1, 2 D)    ; condition 2 E)  Continuous everywhere.A function f is continuous at the point   if the following conditions are satisfied. ​ 1)    is defined. 2)    exists. 3)    . ​ Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s)  for continuity that are violated. ​   ​   ​ A)    ; conditions 1, 2 B)    ; conditions 2, 3 C)    ; conditions 1, 2 D)    ; condition 2 E)  Continuous everywhere.


A) A function f is continuous at the point   if the following conditions are satisfied. ​ 1)    is defined. 2)    exists. 3)    . ​ Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s)  for continuity that are violated. ​   ​   ​ A)    ; conditions 1, 2 B)    ; conditions 2, 3 C)    ; conditions 1, 2 D)    ; condition 2 E)  Continuous everywhere. ; conditions 1, 2
B) A function f is continuous at the point   if the following conditions are satisfied. ​ 1)    is defined. 2)    exists. 3)    . ​ Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s)  for continuity that are violated. ​   ​   ​ A)    ; conditions 1, 2 B)    ; conditions 2, 3 C)    ; conditions 1, 2 D)    ; condition 2 E)  Continuous everywhere. ; conditions 2, 3
C) A function f is continuous at the point   if the following conditions are satisfied. ​ 1)    is defined. 2)    exists. 3)    . ​ Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s)  for continuity that are violated. ​   ​   ​ A)    ; conditions 1, 2 B)    ; conditions 2, 3 C)    ; conditions 1, 2 D)    ; condition 2 E)  Continuous everywhere. ; conditions 1, 2
D) A function f is continuous at the point   if the following conditions are satisfied. ​ 1)    is defined. 2)    exists. 3)    . ​ Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s)  for continuity that are violated. ​   ​   ​ A)    ; conditions 1, 2 B)    ; conditions 2, 3 C)    ; conditions 1, 2 D)    ; condition 2 E)  Continuous everywhere. ; condition 2
E) Continuous everywhere.

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