shapes of rational functions

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12 Terms

1
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y = 1/linear


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2
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y = linear/linear

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3
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y = 1/(x+1)(x+4)

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4
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y = 1/x²

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5
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y = 1 / x² + 1

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6
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What do the top zeros of f(x) = (x-2)(X+3) / (x-6)(x+1)

X-ints ( x = -3, 2)

7
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What do the bottom zeros of f(x) = (x-2)(X+3) / (x-6)(x+1)

VA’s (y = -1, 6)

8
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What makes holes?

#’s that make the top and bottom zero (0/0)

9
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HA for x / x²+4

y = 0

10
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HA for y = 2x² / x² - 2

y = LC top / LC bottom

11
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HA for y = x³ / x²-1

Oblique Asymptote

12
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Y-int

sub in x = 0