Find all the asymtotes and intercepts of a rational function

The video tutorial covers the concepts of horizontal and vertical asymptotes, explaining how to determine them using the degree and leading coefficients of polynomials. It also discusses finding X and Y intercepts by setting the numerator and denominator to zero, respectively. The tutorial concludes with a graph confirmation of the discussed concepts.

How do you determine the horizontal asymptote of a rational function when the degrees of the numerator and denominator are equal?

• By setting the numerator to zero

• By comparing the leading coefficients

• By subtracting the degrees

• By adding the coefficients

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

• Find the leading coefficient

• Compare the degrees of numerator and denominator

• Set the denominator equal to zero

• Set the numerator equal to zero

Which of the following values of x is a vertical asymptote for the function given in the video?

• x = 2

• x = -1

• x = 1

• x = 0

How do you find the x-intercept of a rational function?

• Set the numerator equal to zero

• Set the denominator equal to zero

• Divide the leading coefficients

• Subtract the degrees of numerator and denominator

What is the y-intercept of a function if you substitute zero for x?

• Zero

• The result of the numerator divided by the denominator

• The leading coefficient of the numerator

• The leading coefficient of the denominator