
Understanding Limits and Infinity

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

Emma Peterson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main focus of the problem discussed in the video?
Identifying the maximum value of f(x) at x=6
Calculating the integral of f(x) from 0 to 6
Finding the derivative of f(x) at x=6
Determining the limit of f(x) as x approaches 6
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
As x approaches 6 from the left, what trend is observed in the values of f(x)?
f(x) approaches zero
f(x) becomes negative
f(x) increases without bound
f(x) remains constant
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the limit of f(x) as x approaches 6 from the left side?
Undefined
Positive infinity
Negative infinity
Zero
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
As x approaches 6 from the right, how does f(x) behave?
f(x) remains constant
f(x) decreases without bound
f(x) becomes more positive
f(x) approaches zero
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the limit of f(x) as x approaches 6 from the right side?
Undefined
Zero
Negative infinity
Positive infinity
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following correctly describes the limit of f(x) as x approaches 6 from both sides?
Both sides approach positive infinity
Left side approaches positive infinity, right side approaches negative infinity
Left side approaches negative infinity, right side approaches positive infinity
Both sides approach negative infinity
Tags
CCSS.HSF-IF.C.7D
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the limit from the right side being negative infinity?
It means f(x) is constant
It suggests that f(x) decreases without bound
It shows that f(x) is undefined at x=6
It indicates a horizontal asymptote
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