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1001 Algebra II Practice Problems For Dummies by Mary Jane Sterling

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462.    x = –4, y = x – 6

There are no common factors in the numerator and denominator.

To solve for vertical asymptotes, set the denominator equal to 0.

x + 4 = 0 gives you x = –4, the equation of the vertical asymptote.

To solve for the oblique asymptote, divide the numerator by the denominator.

9781118446614-eq181052.eps

The quotient (without the remainder) gives you the equation of the oblique asymptote: y = x – 6.

463.    x = 5, y = x + 9

There are no common factors in the numerator and denominator.

To solve for vertical asymptotes, set the denominator equal to 0.

x – 5 = 0 gives you x = 5, the equation of the vertical asymptote.

To solve for the oblique asymptote, divide the numerator by the denominator.

9781118446614-eq181053.eps

The quotient (without the remainder) gives you the equation of the oblique asymptote: y = x + 9.

464.    x = 2, x = –2, y = x – 3

There are no common factors in the numerator and denominator.

To solve for vertical asymptotes, set the denominator equal to 0.

x2 – 4 = (x – 2)(x + 2) = 0 gives you x = 2 and x = –2, the equations of the vertical asymptotes.

To solve for the oblique asymptote, divide the numerator by the denominator.

9781118446614-eq181054.eps

The quotient (without the remainder) gives you the equation of the oblique ...

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