Graphing a rational function with a slant asymptote

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Mathematics
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11th Grade - University
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Hard
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in graphing a rational function?
Find the X-intercept
Determine the vertical asymptote
Identify the horizontal asymptote
Calculate the Y-intercept
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule applies when the exponent of the numerator is smaller than the exponent of the denominator?
The horizontal asymptote is y = 0
There is no horizontal asymptote
The horizontal asymptote is y = 1
The horizontal asymptote is y = 2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What method can be used to find an oblique asymptote?
Neither synthetic nor long division
Synthetic division only
Long division only
Both synthetic and long division
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens when you try to find the X-intercept of a function with a zero in the denominator?
The X-intercept is one
The X-intercept is undefined
The X-intercept is negative
The X-intercept is zero
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the Y-intercept of a function if the denominator is zero?
The Y-intercept is one
The Y-intercept is undefined
The Y-intercept is negative
The Y-intercept is zero
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How should you plot points when graphing a rational function without a graphing calculator?
Plot as many points as possible
Plot no points
Plot only the intercepts
Plot only the asymptotes
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the importance of plotting points on both sides of an asymptote?
To determine the slope
To understand the graph's behavior
To find the exact intercepts
To calculate the function's value
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