
6.3 Graphing Rational Functions
Presentation
•
Mathematics
•
10th - 12th Grade
•
Medium
Standards-aligned
Joseph Collins
Used 159+ times
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10 Slides • 11 Questions
1
6.3 Graphing Rational Functions
This will review the notes you took on 6.3. There are new examples so you may want to take some additional notes on notebook paper!

2
3
4
5
Multiple Select
Does the rational function have any discontinuities? y=x−2x2−3x−4 Select all that apply.
x=2 is a hole
x=2 is a vertical asymptote
x=4 is a vertical asymptote
x=−1 is a vertical asymptote
6
Multiple Select
Does the rational function have any discontinuities? y=x2−12x+2 Select all that apply.
x=1 is a hole
x=1 is a vertical asymptote
x=−1 is a hole
x=−1 is a vetical asymptote
7
Multiple Choice
Where are the holes in the rational function below? y=x2+4x−53x2+15x+18 Select all that apply.
x=−5 is a hole
x=1 is a hole
x=3 is a hole
there are no holes in this function
8
9
Multiple Select
How many y-intercepts can a rational function have? (Select all that apply)
0
1
2
many
10
Multiple Choice
What is the y-intercept of the rational equation? y=2−xx−4
(0,-2)
(0,4)
(0,2)
(0,-4)
11
Multiple Select
What are the x-intercepts of the rational expression below. y=x2+4x+22x2+7x+3 Select all that apply.
(0,0)
(−3,0)
(21,0)
(−21,0)
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13
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Multiple Choice
Which of the following does not have a horizontal asymptote?
y=x2+4x+42x3+7x2+3x
y=x2+x−12x−3
y=2−xx−4
they all have a horizontal asymptote
15
Multiple Choice
What is the horizontal asymptote of the rational equation below? y=x2+4x−53x2+15x+18
y=31
y=3
y=0
y=1
16
Multiple Choice
What is the horizontal asymptote of the graph of rational equation below? y=x2+2x−3x−12
y=0
y=1
y=4
y=21
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Multiple Choice
Which of the following has a slant (oblique) asymptote?
y=x−2x2−3x−4
y=x2−13
y=x3+x2−12x−3
20
Multiple Choice
What is the equation of the slant asymptote of the rational equation below? y=x2+4x+42x3+7x2+3x
y=2x−1
y=−2x+1
y=−9x−4
y=2
21
Thank you for finishing this lesson!
If you have any questions, please your teacher know! You can go back through this again if you would like to improve your score.
Please review your notes from 6.3 and make sure you have finished practice problems 1-12 so we can being graphing.
6.3 Graphing Rational Functions
This will review the notes you took on 6.3. There are new examples so you may want to take some additional notes on notebook paper!

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