What is the main challenge presented in identifying the graph of the function f(x)?

Understanding Horizontal Asymptotes

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

Liam Anderson
FREE Resource
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Understanding the behavior of the function at x = 0.
Determining the coefficients a, b, c, and d.
Finding the roots of the function.
Identifying the vertical asymptotes.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of the constants a, b, c, and d in the function f(x)?
They determine the horizontal asymptote.
They determine the vertical asymptote.
They are unknown and do not affect the asymptote.
They determine the roots of the function.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
As x approaches positive or negative infinity, what does f(x) approximate to?
Positive infinity
Negative infinity
Negative one
Zero
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the highest degree terms in determining the horizontal asymptote?
They dominate the behavior of f(x) as x becomes very large.
They determine the vertical asymptote.
They are irrelevant to asymptotes.
They help find the roots of the function.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the horizontal asymptote of the function f(x) as x approaches infinity?
y = 1
y = -1
y = 0
y = 2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can choice B be ruled out as the correct graph for f(x)?
It has a horizontal asymptote at y = 2.
It intersects the x-axis.
It has a vertical asymptote at x = 0.
It has no asymptotes.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which graph choice has a horizontal asymptote at y = 0?
Choice B
Choice A
Choice D
Choice C
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