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A Function F Is Continuous at the Point If

Question 48

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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 1, 2 C)    ; condition 3 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 1, 2 C)    ; condition 3 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 1, 2 C)    ; condition 3 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 1, 2 C)    ; condition 3 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 1, 2 C)    ; condition 3 D)    ; condition 2 E)  Continuous everywhereA 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 1, 2 C)    ; condition 3 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 1, 2 C)    ; condition 3 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 1, 2 C)    ; condition 3 D)    ; condition 2 E)  Continuous everywhere ; conditions 1, 2
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 1, 2 C)    ; condition 3 D)    ; condition 2 E)  Continuous everywhere ; condition 3
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 1, 2 C)    ; condition 3 D)    ; condition 2 E)  Continuous everywhere ; condition 2
E) Continuous everywhere

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