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Vertical asymtotes, Holes and Horizontal Asymtotes

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For the rational function f(x)=[3x(x-1)]/[(x-1)(x+2)]

a) Find each of these features, saying how you know in each case
1. Verticle asymptotes (if any)
2. Holes (if any)
3. Horizontal asymtotes (if any)

b) Draw a neat graph of f(x), showing any asymptotes and/or holes appropriately.

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Solution Summary

Vertical asypmtotes, Holes and Horizontal Asymptotes are investigated. The solution is detailed and well presented.

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