
Continuity and Discontinuity in Functions

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Aiden Montgomery
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is an informal way to determine if a function is continuous?
If it has a break at x = 0
If it is a quadratic function
If it can be drawn without lifting a pen
If it is a linear function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following functions is typically continuous?
1/x
1/x^2
x^2
tan(x)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is required for a function to be continuous at a specific point?
The function must be linear at that point
The function must have a discontinuity at that point
The left and right limits must be equal to the function's value at that point
The function must be undefined at that point
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you test if a function is continuous over an interval?
Verify the function is linear over the interval
Confirm the function is quadratic over the interval
Ensure the function is continuous at every point within the interval
Check if the function is continuous at the endpoints only
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key indicator of a discontinuity in a function?
The function is defined at all points
The limits from the left and right are not equal
The function is linear
The function is quadratic
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the function 1/x not continuous at x = 0?
Because it is continuous at all other points
Because it is a quadratic function
Because it is undefined at x = 0
Because it is a linear function
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the limits of 1/x as x approaches 0 from the positive and negative sides?
One limit approaches positive infinity and the other negative infinity
Both limits approach positive infinity
Both limits are equal
Both limits approach zero
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