
Understanding Limits and Asymptotes

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

Amelia Wright
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the function f(x) defined as in the video?
x over x squared
x plus the square root of x^2+1
x squared plus 1
x over the square root of x^2+1
Tags
CCSS.HSF-IF.C.7D
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
As x becomes very large, which term dominates in the denominator of f(x)?
x cubed
x squared
1
x
Tags
CCSS.HSF-IF.C.7D
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the function f(x) approximate to as x approaches infinity?
x over x
x over the absolute value of x
x over x squared
x squared over x
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of the limit of f(x) as x approaches positive infinity?
Infinity
0
1
-1
Tags
CCSS.HSF-IF.C.7E
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of the limit of f(x) as x approaches negative infinity?
-1
1
Infinity
0
Tags
CCSS.HSF-IF.C.7D
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the horizontal asymptote of f(x) as x approaches positive infinity?
y = -1
y = 0
y = x
y = 1
Tags
CCSS.HSF-IF.C.7D
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the horizontal asymptote of f(x) as x approaches negative infinity?
y = x
y = 0
y = 1
y = -1
Tags
CCSS.HSF.IF.A.2
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