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Questions and Answers
Point discontinuity occurs when the curve has a "hole" because the function has a value that is off the curve at that point.
Point discontinuity occurs when the curve has a "hole" because the function has a value that is off the curve at that point.
True (A)
Non-removable discontinuity occurs when you have a rational expression with the common factors in the numerator and denominator.
Non-removable discontinuity occurs when you have a rational expression with the common factors in the numerator and denominator.
False (B)
Function is continuous if you can evaluate any limit on the function using only the substitution method.
Function is continuous if you can evaluate any limit on the function using only the substitution method.
True (A)
Essentia; discontinuity occurs when curve has a vertical asymptote.
Essentia; discontinuity occurs when curve has a vertical asymptote.
One of the characteristics of a function is it is one to many.
One of the characteristics of a function is it is one to many.
Discontinuity is a point at which function is continuous.
Discontinuity is a point at which function is continuous.
Continuous functions have no breaks, no holes. and no jumps.
Continuous functions have no breaks, no holes. and no jumps.
One of the characteristics of a function is it is one to one
One of the characteristics of a function is it is one to one
A function is a rule that assigns to each element y in set A exactly one element, called f(x), in set B.
A function is a rule that assigns to each element y in set A exactly one element, called f(x), in set B.
Continuous functions have no holes in graph
Continuous functions have no holes in graph
A polynomial function is continuous at every real number.
A polynomial function is continuous at every real number.
Non-removable discontinuity occurs when the curve breaks at a particular point and starts somewhere else
Non-removable discontinuity occurs when the curve breaks at a particular point and starts somewhere else
The domains are the values of x.
The domains are the values of x.
A discontinuity is called removable if a function can be made continuous by defining (or redefining) a point.
A discontinuity is called removable if a function can be made continuous by defining (or redefining) a point.
A rational function is continuous at every real number in its domain.
A rational function is continuous at every real number in its domain.
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