
Understanding One-Sided Limits and Vertical Asymptotes

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 a vertical asymptote in the context of one-sided limits?
A horizontal line that the graph approaches but never touches
A point where the function has a maximum value
A vertical line where the function approaches infinity
A point where the function crosses the x-axis
Tags
CCSS.HSF-IF.C.7E
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what happens to the function as x approaches 0 from the left?
The function approaches negative infinity
The function approaches positive infinity
The function remains constant
The function oscillates
Tags
CCSS.HSF-IF.C.7E
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can we verify the limit as x approaches 0 from the left?
By using a graph
By creating a table of values
By using a calculator
By solving an equation
Tags
CCSS.HSF-IF.C.7D
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the limit being equal to negative infinity in the first example?
It indicates a horizontal asymptote
It means the function is undefined
It shows that the limit exists
It confirms a vertical asymptote at x = 0
Tags
CCSS.HSF-IF.C.7D
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what happens to the function as x approaches 3 from the right?
The function remains constant
The function decreases
The function approaches positive infinity
The function approaches negative infinity
Tags
CCSS.HSF-IF.C.7D
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the limit being equal to positive infinity indicate in the second example?
The limit exists
There is a vertical asymptote at x = 3
The function is undefined
The function has a maximum value
Tags
CCSS.HSF-IF.C.7D
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can we confirm the vertical asymptote at x = 3?
By solving an equation
By using a calculator
By creating a table of values
By using a graph
Tags
CCSS.HSF-IF.C.7D
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