Find Slant asymptotes of a Rational Equation

The video tutorial covers simplifying expressions by factoring and dividing, understanding horizontal and vertical asymptotes, and identifying holes. It explains how to find slant asymptotes using polynomial division and provides a detailed walkthrough of long division of polynomials. The tutorial concludes with a summary and corrections of key points.

What happens to a term in a rational function when it is canceled out during simplification?

• It becomes a vertical asymptote.

• It becomes a horizontal asymptote.

• It has no effect on the graph.

• It creates a hole in the graph.

How do you determine the location of a vertical asymptote in a rational function?

• By setting the numerator equal to zero.

• By finding the degree of the denominator.

• By setting the denominator equal to zero.

• By finding the degree of the numerator.

What is the result of dividing exponents when simplifying a polynomial division?

• You divide the powers.

• You multiply the powers.

• You add the powers.

• You subtract the powers.

In the context of polynomial division, what is the reciprocal of a fraction?

• The fraction divided by two.

• The fraction multiplied by two.

• The fraction with its numerator and denominator swapped.

• The fraction itself.

What is the equation of the slant asymptote found in the video?

• y = x^2 - 2x

• y = 3/4x + 1/2

• y = 2x - 3

• y = 1/2x + 3/4