# Precalc - Rational Functions (Chapter 3)

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n>m

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## Tags and Description

### 11 Terms

1

n>m

no horizontal asymptote

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2

n=m

HA: y=a/b

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3

n<m

HA: y=0

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4

zeroes of the denominator

vertical asymptote

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5

zeroes of the numerator

x intercepts

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6

function value at x=0

y intercept

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7

common terms in factored numerator and denominator

there is a hole

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8

x value of cancelled out term

x value of hole

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9

plug cancelled x value back into function

y value of hole

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10

degree of numerator is one more than the degree of denominator

there is a slant asymptote

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11

numerator / denominator with long division

slope of slant asymptote

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