
Understanding Asymptotes and Graphing Functions

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 first step in determining vertical asymptotes?
Evaluate the limit as x approaches infinity.
Perform polynomial division.
Find the zeros of the numerator.
Check if the numerator and denominator have common factors.
Tags
CCSS.HSF-IF.C.7D
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Where does the vertical asymptote occur for the given function?
x = 1
x = 2
x = 0
x = -1
Tags
CCSS.HSF-IF.C.7D
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What condition indicates that a function does not have a horizontal asymptote?
The degree of the numerator is less than the degree of the denominator.
The degree of the numerator is equal to the degree of the denominator.
The degree of the numerator is greater than the degree of the denominator.
The numerator and denominator have common factors.
Tags
CCSS.HSF-IF.C.7D
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of asymptote is present when the degree of the numerator is one higher than the denominator?
No asymptote
Slant or oblique asymptote
Horizontal asymptote
Vertical asymptote
Tags
CCSS.HSF-IF.C.7D
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation of the slant asymptote for the given function?
y = x
y = x - 1
y = x + 1
y = 2x + 1
Tags
CCSS.HSF-IF.C.7D
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the y-intercept of the slant asymptote?
0
+2
-1
+1
Tags
CCSS.HSF-IF.C.7D
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the slope of the slant asymptote?
2
1
0
-1
Tags
CCSS.HSF.IF.A.2
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