CCP College Algebra 8.4 Analyzing Rational Functions

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8 Terms

1
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What must be excluded from the domain?

Holes and vertical asymptotes

2
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What is done to find x-intercepts?

Set numerator = 0 (after factoring and cancelling)

3
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What is done to find y-intercepts?

Substitute in 0 for x. (Plug and Chug)

4
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What is done to find holes?

Find the zeros of the cancelled parts of the fraction

5
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What is done to find vertical asymptotes?

Set denominator = 0 (after factoring and canceling)

6
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What is done to find horizontal asymptotes?

Look at degrees of numerator and denominator

7
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If the degree of denominator is greater than that of the numerator, then

the Horizontal asymptote is y = 0

8
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Slant asymptotes occur when

The degree of the numerator is more than the degree of the denominator