
Understanding Continuity and Discontinuity

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Ethan Morris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal of the lesson on continuity?
To learn how to sketch graphs
To define continuity using limits
To understand calculus
To solve algebraic equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How was continuity determined in algebra?
By calculating the derivative
By sketching the function without lifting the pencil
By checking if the function is integrable
By checking if the function is differentiable
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is NOT a condition for a function to be continuous at a point?
The limit of the function exists as it approaches the point
The limit equals the function value at the point
The function value exists at the point
The derivative of the function exists at the point
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a removable discontinuity?
A discontinuity that cannot be fixed
A discontinuity that occurs at infinity
A discontinuity that is always present in polynomial functions
A discontinuity that can be fixed by redefining the function at a point
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of discontinuity is associated with a vertical asymptote?
Non-removable discontinuity
Point discontinuity
Removable discontinuity
Horizontal discontinuity
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
At which point is the function NOT continuous due to a non-removable discontinuity?
x = 2
x = 0
x = 4
x = -2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the reason for the function being discontinuous at x = 2?
The function value does not exist at x = 2
The function has a vertical asymptote at x = 2
The limit does not exist as x approaches 2
The function is continuous at x = 2
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