Find the domain, horizontal asymptotes of a rational function

The video tutorial explains how to find the domain, vertical and horizontal asymptotes, and intercepts of a function. It begins with setting the denominator to zero to find vertical asymptotes and discusses the comparison of exponents to determine horizontal asymptotes. The tutorial also covers finding X and Y intercepts by plugging in zero and concludes with a summary of the findings. The latter part of the transcript includes unrelated discussions about tasks and rosters.

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

• Set the numerator to zero

• Find the derivative of the function

• Set the denominator to zero

• Evaluate the function at x = 0

How do you determine if a function has a horizontal asymptote at y = 0?

• The function has no variables

• The degree of the numerator is greater than the degree of the denominator

• The degree of the numerator is less than the degree of the denominator

• The degrees of the numerator and denominator are equal

What happens if the degrees of the numerator and denominator are equal?

• There is no horizontal asymptote

• The horizontal asymptote is the ratio of the leading coefficients

• The horizontal asymptote is y = 0

• The function has a vertical asymptote

How do you find the x-intercepts of a function?

• Set the denominator to zero

• Set the numerator to zero

• Plug in zero for y

• Plug in zero for x

Why are there no x-intercepts in this function?

• The numerator is always zero

• The function is undefined at x = 0

• The function is a constant

• The denominator is zero at x = 0

What is the domain of the function discussed in the video?

• All negative numbers

• All positive numbers

• All real numbers except x = 0 and x = 2

• All real numbers

What is the horizontal asymptote of the function?

• y = 2

• y = 1

• y = 0

• There is no horizontal asymptote