
Understanding Continuity in Functions
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Jackson Turner
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the basic idea of continuity in a function?
A function is continuous if it is always increasing.
A function is continuous if it has a maximum value.
A function is continuous if it has no breaks or jumps.
A function is continuous if it is defined for all real numbers.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of discontinuity is characterized by a sudden jump in the function's value?
Removable discontinuity
Oscillating discontinuity
Infinite discontinuity
Jump discontinuity
Tags
CCSS.HSF-IF.C.7D
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can a removable discontinuity be resolved?
By increasing the function's domain
By adding a constant to the function
By redefining the function at the point of discontinuity
By decreasing the function's range
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is NOT a type of discontinuity discussed?
Removable discontinuity
Jump discontinuity
Oscillating discontinuity
Infinite discontinuity
Tags
CCSS.HSF-IF.C.7D
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean if a function has a removable discontinuity?
The function has a vertical asymptote at that point.
The function can be redefined to make it continuous.
The function is not defined at that point.
The function is continuous at that point.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the rigorous definition of continuity at an interior point?
The function is continuous if it is increasing at that point.
The function is continuous if the limit from both sides equals the function's value at that point.
The function is continuous if it is differentiable at that point.
The function is continuous if it has a maximum at that point.
Tags
CCSS.HSF-IF.C.7D
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of limits, what must be true for a function to be continuous at a point?
The limit from the left must be undefined.
The limit from the left must be less than the limit from the right.
The limit from the left must equal the limit from the right and both must equal the function's value at that point.
The limit from the left must be greater than the limit from the right.
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