Continuity and Discontinuity in Functions
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a continuous function?
A function with multiple breaks
A function that is not defined
A function with at least one gap
A function with no gaps or breaks
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following indicates a non-continuous function?
A graph with holes
A smooth curve
A parabolic curve
A straight line
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the definition of a continuous function at a point C?
The function is undefined at C
The limit as X approaches C equals F(C)
The function is defined at C
The function has a gap at C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean if the limit as X approaches C of a function equals F(C)?
The function is undefined at C
The function has a hole at C
The function is continuous at C
The function is discontinuous at C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which condition is NOT required for a function to be continuous at a point?
The limit equals F(C)
The left and right limits are different
F(C) exists
The limit as X approaches C exists
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What must be true for a function to be continuous at a point?
The limit does not exist at that point
The function is undefined at that point
The limit equals the function value at that point
The function has a gap at that point
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a graph, what indicates that a function is continuous over an interval?
Undefined points
Multiple jumps
No breaks or gaps
Presence of holes
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