Rational Functions
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to shift the origin.
Exercises for students
Sketch the following graphs on paper, giving the equations of any asymptotes, and check your graphs using the above applet:
y = x
2
/ (x
2
- 2x - 3)
y = x
2
/ (x
2
- 2x + 1)
y = x
2
/ (x
2
- 2x + 2)
y = (x
2
+ x) / (x
2
- 2x - 3)
y = (x
2
+ x) / (x
2
- 2x + 1)
y = (x
2
+ x) / (x
2
- 2x + 2)
y = 1 / (x
2
- 2x - 3)
y = 1 / (x
2
- 2x + 1)
y = 1 / (x
2
- 2x + 2)
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Rational Functions
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