Finding the vertical, horizontal and slant asymptotes of a rational function

The video tutorial covers the process of finding vertical and horizontal asymptotes in mathematical functions. It begins with factoring the denominator to find vertical asymptotes and setting it equal to zero. The tutorial then explains how to determine horizontal asymptotes by comparing the degrees of the numerator and denominator, using the ratio of leading coefficients when the degrees are the same. The video concludes with a brief mention of intercepts.

What is the first step in finding vertical asymptotes of a rational function?

• Factor the denominator

• Factor the numerator

• Set the denominator equal to one

• Set the numerator equal to zero

If the degrees of the numerator and denominator are the same, how do you find the horizontal asymptote?

• Set the numerator equal to zero

• Take the ratio of the leading coefficients

• Subtract the degrees

• Add the coefficients

What is the horizontal asymptote when the leading coefficients of the numerator and denominator are both 1?

• y = 1

• y = -1

• y = x

• y = 0

Why is there no slant asymptote in this example?

• Because the denominator is zero

• Because the numerator is zero

• Because there is a horizontal asymptote

• Because the degrees of the numerator and denominator are different

What is the next topic introduced after discussing horizontal asymptotes?

• Finding vertical asymptotes

• Finding slant asymptotes

• Finding x and y intercepts

• Finding the degree of the polynomial